समीकरणों (2x+y=11) और (x-y=1) का हल क्या है?
What is the solution of the equations (2x+y=11) and (x-y=1)?
#linear equations
#substitution
#elimination
#easy
#class 10
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A (x=4,\ y=3)
B (x=3,\ y=4)
C (x=5,\ y=1)
D (x=2,\ y=5)
Explanation opens after your attempt
Correct Answer
A. (x=4,\ y=3)
Step 1
Concept
Adding both equations gives (3x=12), so (x=4) and (y=3). In exams, eliminate the variable with opposite signs first.
Step 2
Why this answer is correct
The correct answer is A. (x=4,\ y=3). Adding both equations gives (3x=12), so (x=4) and (y=3). In exams, eliminate the variable with opposite signs first.
Step 3
Exam Tip
दोनों समीकरण जोड़ने पर (3x=12), इसलिए (x=4) और (y=3)। परीक्षा में विपरीत चिन्ह वाले चर को पहले हटाएं।
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यदि (x+y=14) और (x=6), तो (y) का मान क्या है?
If (x+y=14) and (x=6), what is the value of (y)?
#linear equations
#substitution
#value of y
#easy
#class 10
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A (y=6)
B (y=7)
C (y=8)
D (y=9)
Explanation opens after your attempt
Step 1
Concept
Putting (x=6) gives (6+y=14), so (y=8). In substitution, place the given value directly.
Step 2
Why this answer is correct
The correct answer is C. (y=8). Putting (x=6) gives (6+y=14), so (y=8). In substitution, place the given value directly.
Step 3
Exam Tip
(x=6) रखने पर (6+y=14), इसलिए (y=8)। प्रतिस्थापन में दिया हुआ मान सीधे रखें।
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यदि (y=x+5) और (x+y=17), तो सही हल कौन-सा है?
If (y=x+5) and (x+y=17), which is the correct solution?
#linear equations
#substitution
#solution pair
#easy
#class 10
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A (x=5,\ y=12)
B (x=6,\ y=11)
C (x=7,\ y=10)
D (x=8,\ y=9)
Explanation opens after your attempt
Correct Answer
B. (x=6,\ y=11)
Step 1
Concept
Substituting (y=x+5) gives (2x+5=17), so (x=6) and (y=11). Using the isolated variable is easier.
Step 2
Why this answer is correct
The correct answer is B. (x=6,\ y=11). Substituting (y=x+5) gives (2x+5=17), so (x=6) and (y=11). Using the isolated variable is easier.
Step 3
Exam Tip
(y=x+5) रखने पर (2x+5=17), इसलिए (x=6) और (y=11)। अलग किए हुए चर का उपयोग करना आसान रहता है।
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समीकरणों (3x+y=18) और (x+y=10) से (x) का मान ज्ञात कीजिए।
Find the value of (x) from (3x+y=18) and (x+y=10).
#linear equations
#elimination
#value of x
#easy
#class 10
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A (x=1)
B (x=2)
C (x=3)
D (x=4)
Explanation opens after your attempt
Step 1
Concept
Subtracting the second equation from the first gives (2x=8), so (x=4). Remove equal (y) terms by subtraction.
Step 2
Why this answer is correct
The correct answer is D. (x=4). Subtracting the second equation from the first gives (2x=8), so (x=4). Remove equal (y) terms by subtraction.
Step 3
Exam Tip
पहले समीकरण से दूसरा घटाने पर (2x=8), इसलिए (x=4)। समान (y) पदों को घटाकर हटाएं।
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यदि (x-y=7) और (x+y=15), तो (y) का मान क्या होगा?
If (x-y=7) and (x+y=15), what will be the value of (y)?
#linear equations
#elimination
#value of y
#easy
#class 10
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A (y=3)
B (y=4)
C (y=5)
D (y=6)
Explanation opens after your attempt
Step 1
Concept
Adding both equations gives (2x=22), so (x=11) and (y=4). After finding one variable, substitute it in a simple equation.
Step 2
Why this answer is correct
The correct answer is B. (y=4). Adding both equations gives (2x=22), so (x=11) and (y=4). After finding one variable, substitute it in a simple equation.
Step 3
Exam Tip
दोनों समीकरण जोड़ने पर (2x=22), इसलिए (x=11) और (y=4)। एक चर मिलने के बाद उसे सरल समीकरण में रखें।
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समीकरणों (4x-y=11) और (x+y=4) का हल क्या है?
What is the solution of (4x-y=11) and (x+y=4)?
#linear equations
#elimination
#solution pair
#easy
#class 10
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A (x=3,\ y=1)
B (x=1,\ y=3)
C (x=4,\ y=0)
D (x=2,\ y=2)
Explanation opens after your attempt
Correct Answer
A. (x=3,\ y=1)
Step 1
Concept
Adding both equations gives (5x=15), so (x=3) and (y=1). In elimination, opposite (y) terms cancel quickly.
Step 2
Why this answer is correct
The correct answer is A. (x=3,\ y=1). Adding both equations gives (5x=15), so (x=3) and (y=1). In elimination, opposite (y) terms cancel quickly.
Step 3
Exam Tip
दोनों समीकरण जोड़ने पर (5x=15), इसलिए (x=3) और (y=1)। विलोपन में विपरीत (y) पद जल्दी कटते हैं।
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यदि (x=3y) और (x+y=16), तो (x) और (y) के मान क्या हैं?
If (x=3y) and (x+y=16), what are the values of (x) and (y)?
#linear equations
#substitution
#multiple relation
#easy
#class 10
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A (x=10,\ y=6)
B (x=8,\ y=8)
C (x=12,\ y=4)
D (x=9,\ y=7)
Explanation opens after your attempt
Correct Answer
C. (x=12,\ y=4)
Step 1
Concept
Substituting (x=3y) gives (4y=16), so (y=4) and (x=12). Substitution is fast when one variable is a multiple of another.
Step 2
Why this answer is correct
The correct answer is C. (x=12,\ y=4). Substituting (x=3y) gives (4y=16), so (y=4) and (x=12). Substitution is fast when one variable is a multiple of another.
Step 3
Exam Tip
(x=3y) रखने पर (4y=16), इसलिए (y=4) और (x=12)। गुणज वाले रूप में प्रतिस्थापन तेज होता है।
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यदि (y=2x+3) और (x+y=15), तो सही हल कौन-सा है?
If (y=2x+3) and (x+y=15), which is the correct solution?
#linear equations
#substitution
#solution
#easy
#class 10
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A (x=3,\ y=12)
B (x=5,\ y=10)
C (x=6,\ y=9)
D (x=4,\ y=11)
Explanation opens after your attempt
Correct Answer
D. (x=4,\ y=11)
Step 1
Concept
Substituting (y=2x+3) gives (3x+3=15), so (x=4) and (y=11). Combine like terms after substitution.
Step 2
Why this answer is correct
The correct answer is D. (x=4,\ y=11). Substituting (y=2x+3) gives (3x+3=15), so (x=4) and (y=11). Combine like terms after substitution.
Step 3
Exam Tip
(y=2x+3) रखने पर (3x+3=15), इसलिए (x=4) और (y=11)। प्रतिस्थापन के बाद समान पद जोड़ें।
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समीकरणों (5x+y=29) और (2x+y=14) से (x) का मान क्या है?
What is the value of (x) from (5x+y=29) and (2x+y=14)?
#linear equations
#elimination
#value of x
#easy
#class 10
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A (x=4)
B (x=5)
C (x=6)
D (x=7)
Explanation opens after your attempt
Step 1
Concept
Subtracting the second equation from the first gives (3x=15), so (x=5). If (y) terms are equal, subtraction is the correct method.
Step 2
Why this answer is correct
The correct answer is B. (x=5). Subtracting the second equation from the first gives (3x=15), so (x=5). If (y) terms are equal, subtraction is the correct method.
Step 3
Exam Tip
पहले समीकरण से दूसरा घटाने पर (3x=15), इसलिए (x=5)। समान (y) हो तो घटाना सही तरीका है।
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यदि (x+2y=20) और (x-y=2), तो (x) और (y) के मान क्या हैं?
If (x+2y=20) and (x-y=2), what are the values of (x) and (y)?
#linear equations
#substitution
#solution pair
#easy
#class 10
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A (x=8,\ y=6)
B (x=6,\ y=8)
C (x=10,\ y=5)
D (x=7,\ y=7)
Explanation opens after your attempt
Correct Answer
A. (x=8,\ y=6)
Step 1
Concept
From the second equation (x=y+2); substituting gives (3y+2=20), so (y=6) and (x=8). Isolate a variable from the simpler equation.
Step 2
Why this answer is correct
The correct answer is A. (x=8,\ y=6). From the second equation (x=y+2); substituting gives (3y+2=20), so (y=6) and (x=8). Isolate a variable from the simpler equation.
Step 3
Exam Tip
दूसरे समीकरण से (x=y+2); रखने पर (3y+2=20), इसलिए (y=6) और (x=8)। सरल समीकरण से चर अलग करें।
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समीकरणों (2x+3y=21) और (x+y=8) में (y) का मान क्या होगा?
In (2x+3y=21) and (x+y=8), what will be the value of (y)?
#linear equations
#substitution
#value of y
#easy
#class 10
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A (y=3)
B (y=4)
C (y=5)
D (y=6)
Explanation opens after your attempt
Step 1
Concept
Using (x=8-y) gives (16-2y+3y=21), so (y=5). It is useful to isolate (x) from the smaller equation.
Step 2
Why this answer is correct
The correct answer is C. (y=5). Using (x=8-y) gives (16-2y+3y=21), so (y=5). It is useful to isolate (x) from the smaller equation.
Step 3
Exam Tip
(x=8-y) रखने पर (16-2y+3y=21), इसलिए (y=5)। छोटे समीकरण से (x) अलग करना उपयोगी है।
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यदि (3x-y=10) और (x+y=10), तो (x) का मान क्या है?
If (3x-y=10) and (x+y=10), what is the value of (x)?
#linear equations
#elimination
#value of x
#easy
#class 10
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? Hint Small clue
A (x=4)
B (x=5)
C (x=6)
D (x=7)
Explanation opens after your attempt
Step 1
Concept
Adding both equations gives (4x=20), so (x=5). Add opposite (y) terms to eliminate them.
Step 2
Why this answer is correct
The correct answer is B. (x=5). Adding both equations gives (4x=20), so (x=5). Add opposite (y) terms to eliminate them.
Step 3
Exam Tip
दोनों समीकरण जोड़ने पर (4x=20), इसलिए (x=5)। विपरीत (y) पदों को जोड़कर हटाएं।
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समीकरणों (2x+y=16) और (x-y=2) का हल कौन-सा है?
Which is the solution of (2x+y=16) and (x-y=2)?
#linear equations
#elimination
#solution pair
#easy
#class 10
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A (x=4,\ y=8)
B (x=5,\ y=6)
C (x=7,\ y=2)
D (x=6,\ y=4)
Explanation opens after your attempt
Correct Answer
D. (x=6,\ y=4)
Step 1
Concept
Adding both equations gives (3x=18), so (x=6) and (y=4). Check the solution in both equations.
Step 2
Why this answer is correct
The correct answer is D. (x=6,\ y=4). Adding both equations gives (3x=18), so (x=6) and (y=4). Check the solution in both equations.
Step 3
Exam Tip
दोनों समीकरण जोड़ने पर (3x=18), इसलिए (x=6) और (y=4)। हल को दोनों समीकरणों में रखकर जांचें।
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यदि (x=9-y) और (3x+y=19), तो (y) का मान क्या होगा?
If (x=9-y) and (3x+y=19), what will be the value of (y)?
#linear equations
#substitution
#value of y
#easy
#class 10
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? Hint Small clue
A (y=4)
B (y=5)
C (y=6)
D (y=7)
Explanation opens after your attempt
Step 1
Concept
Substituting (x=9-y) gives (27-3y+y=19), so (y=4). Be careful while simplifying negative terms.
Step 2
Why this answer is correct
The correct answer is A. (y=4). Substituting (x=9-y) gives (27-3y+y=19), so (y=4). Be careful while simplifying negative terms.
Step 3
Exam Tip
(x=9-y) रखने पर (27-3y+y=19), इसलिए (y=4)। ऋण पदों को सरल करते समय सावधानी रखें।
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समीकरणों (6x-y=23) और (2x-y=7) से (x) का मान ज्ञात कीजिए।
Find the value of (x) from (6x-y=23) and (2x-y=7).
#linear equations
#elimination
#subtract equations
#easy
#class 10
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A (x=2)
B (x=3)
C (x=4)
D (x=5)
Explanation opens after your attempt
Step 1
Concept
Subtracting the second equation from the first gives (4x=16), so (x=4). Equal (-y) terms can be removed by subtraction.
Step 2
Why this answer is correct
The correct answer is C. (x=4). Subtracting the second equation from the first gives (4x=16), so (x=4). Equal (-y) terms can be removed by subtraction.
Step 3
Exam Tip
पहले समीकरण से दूसरा घटाने पर (4x=16), इसलिए (x=4)। समान (-y) पदों को घटाकर हटाया जा सकता है।
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दो संख्याओं (x) और (y) का योग (18) है और (y=7), तो (x) का मान क्या है?
The sum of two numbers (x) and (y) is (18), and (y=7). What is the value of (x)?
#linear equations
#word problem
#substitution
#easy
#class 10
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? Hint Small clue
A (x=8)
B (x=9)
C (x=10)
D (x=11)
Explanation opens after your attempt
Step 1
Concept
Putting (y=7) in (x+y=18) gives (x=11). In word problems, form the equation first.
Step 2
Why this answer is correct
The correct answer is D. (x=11). Putting (y=7) in (x+y=18) gives (x=11). In word problems, form the equation first.
Step 3
Exam Tip
समीकरण (x+y=18) में (y=7) रखने पर (x=11)। शब्द प्रश्न में पहले समीकरण बनाएं।
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समीकरणों (x+4y=25) और (x+y=10) को हल करने पर (y) कितना है?
On solving (x+4y=25) and (x+y=10), what is (y)?
#linear equations
#elimination
#value of y
#easy
#class 10
50 50-50 2 wrong hide
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? Hint Small clue
A (y=4)
B (y=5)
C (y=6)
D (y=7)
Explanation opens after your attempt
Step 1
Concept
Subtracting the second equation from the first gives (3y=15), so (y=5). Subtract to remove equal (x) terms.
Step 2
Why this answer is correct
The correct answer is B. (y=5). Subtracting the second equation from the first gives (3y=15), so (y=5). Subtract to remove equal (x) terms.
Step 3
Exam Tip
पहले समीकरण से दूसरा घटाने पर (3y=15), इसलिए (y=5)। समान (x) पदों को हटाने के लिए घटाएं।
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यदि (3x+3y=27) और (x-y=1), तो सही हल कौन-सा है?
If (3x+3y=27) and (x-y=1), which is the correct solution?
#linear equations
#elimination
#simplification
#easy
#class 10
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? Hint Small clue
A (x=5,\ y=4)
B (x=4,\ y=5)
C (x=6,\ y=3)
D (x=3,\ y=6)
Explanation opens after your attempt
Correct Answer
A. (x=5,\ y=4)
Step 1
Concept
The first equation becomes (x+y=9); adding it with (x-y=1) gives (2x=10). Divide by the common factor first.
Step 2
Why this answer is correct
The correct answer is A. (x=5,\ y=4). The first equation becomes (x+y=9); adding it with (x-y=1) gives (2x=10). Divide by the common factor first.
Step 3
Exam Tip
पहला समीकरण (x+y=9) बनता है; इसे (x-y=1) से जोड़ने पर (2x=10)। पहले सामान्य गुणनखंड से भाग दें।
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यदि (y=x-3) और (2x+y=15), तो (x) का मान क्या है?
If (y=x-3) and (2x+y=15), what is the value of (x)?
#linear equations
#substitution
#value of x
#easy
#class 10
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? Hint Small clue
A (x=4)
B (x=5)
C (x=6)
D (x=7)
Explanation opens after your attempt
Step 1
Concept
Substituting (y=x-3) gives (3x-3=15), so (x=6). After substitution, solve the equation in one variable.
Step 2
Why this answer is correct
The correct answer is C. (x=6). Substituting (y=x-3) gives (3x-3=15), so (x=6). After substitution, solve the equation in one variable.
Step 3
Exam Tip
(y=x-3) रखने पर (3x-3=15), इसलिए (x=6)। प्रतिस्थापन के बाद समीकरण को एक चर में हल करें।
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समीकरणों (4x+2y=30) और (4x-y=12) से (y) का मान क्या है?
What is the value of (y) from (4x+2y=30) and (4x-y=12)?
#linear equations
#elimination
#value of y
#easy
#class 10
50 50-50 2 wrong hide
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+10 Time+ 10 sec extra
? Hint Small clue
A (y=3)
B (y=4)
C (y=5)
D (y=6)
Explanation opens after your attempt
Step 1
Concept
Subtracting the second equation from the first gives (3y=18), so (y=6). Subtraction is correct to remove equal (4x).
Step 2
Why this answer is correct
The correct answer is D. (y=6). Subtracting the second equation from the first gives (3y=18), so (y=6). Subtraction is correct to remove equal (4x).
Step 3
Exam Tip
पहले समीकरण से दूसरा घटाने पर (3y=18), इसलिए (y=6)। समान (4x) को हटाने के लिए घटाना सही है।
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यदि (x+5y=32) और (x=7), तो (y) का मान क्या होगा?
If (x+5y=32) and (x=7), what will be the value of (y)?
#linear equations
#substitution
#value of y
#easy
#class 10
50 50-50 2 wrong hide
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+10 Time+ 10 sec extra
? Hint Small clue
A (y=4)
B (y=5)
C (y=6)
D (y=7)
Explanation opens after your attempt
Step 1
Concept
Putting (x=7) gives (7+5y=32), so (y=5). After substituting the given value, divide carefully.
Step 2
Why this answer is correct
The correct answer is B. (y=5). Putting (x=7) gives (7+5y=32), so (y=5). After substituting the given value, divide carefully.
Step 3
Exam Tip
(x=7) रखने पर (7+5y=32), इसलिए (y=5)। दिए हुए मान को रखने के बाद भाग दें।
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समीकरणों (2x+y=17) और (2x-y=7) से (x) का मान ज्ञात कीजिए।
Find the value of (x) from (2x+y=17) and (2x-y=7).
#linear equations
#elimination
#value of x
#easy
#class 10
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A (x=4)
B (x=5)
C (x=6)
D (x=7)
Explanation opens after your attempt
Step 1
Concept
Adding both equations gives (4x=24), so (x=6). Add opposite (y) terms to eliminate them.
Step 2
Why this answer is correct
The correct answer is C. (x=6). Adding both equations gives (4x=24), so (x=6). Add opposite (y) terms to eliminate them.
Step 3
Exam Tip
दोनों समीकरण जोड़ने पर (4x=24), इसलिए (x=6)। विपरीत (y) पदों को जोड़कर हटाएं।
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यदि (x=2y-4) और (x+y=14), तो सही हल कौन-सा है?
If (x=2y-4) and (x+y=14), which is the correct solution?
#linear equations
#substitution
#solution pair
#easy
#class 10
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A (x=8,\ y=6)
B (x=6,\ y=8)
C (x=10,\ y=4)
D (x=4,\ y=10)
Explanation opens after your attempt
Correct Answer
A. (x=8,\ y=6)
Step 1
Concept
Substituting (x=2y-4) gives (3y-4=14), so (y=6) and (x=8). Use the given expression for (x) directly.
Step 2
Why this answer is correct
The correct answer is A. (x=8,\ y=6). Substituting (x=2y-4) gives (3y-4=14), so (y=6) and (x=8). Use the given expression for (x) directly.
Step 3
Exam Tip
(x=2y-4) रखने पर (3y-4=14), इसलिए (y=6) और (x=8)। बने हुए (x) के रूप को सीधे रखें।
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समीकरणों (6x+3y=39) और (2x+y=13) के बारे में सही कथन कौन-सा है?
Which statement is correct about the equations (6x+3y=39) and (2x+y=13)?
#linear equations
#equivalent equations
#easy
#class 10
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A इनका कोई हल नहीं है / They have no solution
B इनका केवल (x=1,\ y=11) हल है / They have only the solution (x=1,\ y=11)
C इनमें केवल (x) है / They contain only (x)
D पहला समीकरण दूसरे का (3) गुना है / The first equation is (3) times the second
Explanation opens after your attempt
Correct Answer
D. पहला समीकरण दूसरे का (3) गुना है / The first equation is (3) times the second
Step 1
Concept
Multiplying (2x+y=13) by (3) gives (6x+3y=39). Recognizing equivalent equations is also useful in exams.
Step 2
Why this answer is correct
The correct answer is D. पहला समीकरण दूसरे का (3) गुना है / The first equation is (3) times the second. Multiplying (2x+y=13) by (3) gives (6x+3y=39). Recognizing equivalent equations is also useful in exams.
Step 3
Exam Tip
(2x+y=13) को (3) से गुणा करने पर (6x+3y=39) मिलता है। समान समीकरणों को पहचानना भी परीक्षा में उपयोगी है।
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यदि (x-2y=3) और (x+y=12), तो (y) का मान क्या है?
If (x-2y=3) and (x+y=12), what is the value of (y)?
#linear equations
#substitution
#value of y
#easy
#class 10
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A (y=2)
B (y=3)
C (y=4)
D (y=5)
Explanation opens after your attempt
Step 1
Concept
Substituting (x=12-y) gives (12-y-2y=3), so (y=3). Simplify negative signs carefully in substitution.
Step 2
Why this answer is correct
The correct answer is B. (y=3). Substituting (x=12-y) gives (12-y-2y=3), so (y=3). Simplify negative signs carefully in substitution.
Step 3
Exam Tip
(x=12-y) रखने पर (12-y-2y=3), इसलिए (y=3)। प्रतिस्थापन में ऋण चिन्हों को ध्यान से सरल करें।
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समीकरणों (4x+y=25) और (x+y=10) का हल क्या है?
What is the solution of (4x+y=25) and (x+y=10)?
#linear equations
#elimination
#solution pair
#easy
#class 10
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A (x=5,\ y=5)
B (x=6,\ y=4)
C (x=4,\ y=6)
D (x=7,\ y=3)
Explanation opens after your attempt
Correct Answer
A. (x=5,\ y=5)
Step 1
Concept
Subtracting the second equation from the first gives (3x=15), so (x=5) and (y=5). Put the found variable into the smaller equation.
Step 2
Why this answer is correct
The correct answer is A. (x=5,\ y=5). Subtracting the second equation from the first gives (3x=15), so (x=5) and (y=5). Put the found variable into the smaller equation.
Step 3
Exam Tip
पहले समीकरण से दूसरा घटाने पर (3x=15), इसलिए (x=5) और (y=5)। एक चर मिलने पर उसे छोटे समीकरण में रखें।
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यदि (y=3x-2) और (x+y=18), तो (y) का मान क्या होगा?
If (y=3x-2) and (x+y=18), what will be the value of (y)?
#linear equations
#substitution
#value of y
#easy
#class 10
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A (y=10)
B (y=11)
C (y=13)
D (y=15)
Explanation opens after your attempt
Step 1
Concept
Substituting (y=3x-2) gives (4x-2=18), so (x=5) and (y=13). Find (x) first, then use the expression for (y).
Step 2
Why this answer is correct
The correct answer is C. (y=13). Substituting (y=3x-2) gives (4x-2=18), so (x=5) and (y=13). Find (x) first, then use the expression for (y).
Step 3
Exam Tip
(y=3x-2) रखने पर (4x-2=18), इसलिए (x=5) और (y=13)। पहले (x) निकालें फिर (y) के रूप में रखें।
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समीकरणों (5x+5y=50) और (x-y=4) को हल करने पर क्या मिलेगा?
What is obtained by solving (5x+5y=50) and (x-y=4)?
#linear equations
#elimination
#simplification
#easy
#class 10
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A (x=6,\ y=4)
B (x=5,\ y=5)
C (x=8,\ y=2)
D (x=7,\ y=3)
Explanation opens after your attempt
Correct Answer
D. (x=7,\ y=3)
Step 1
Concept
The first equation becomes (x+y=10); adding it with (x-y=4) gives (2x=14). Reduce large coefficients first.
Step 2
Why this answer is correct
The correct answer is D. (x=7,\ y=3). The first equation becomes (x+y=10); adding it with (x-y=4) gives (2x=14). Reduce large coefficients first.
Step 3
Exam Tip
पहला समीकरण (x+y=10) बनता है; इसे (x-y=4) से जोड़ने पर (2x=14)। बड़े गुणांक को पहले छोटा करें।
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यदि (2x+4y=28) और (x-y=2), तो (x) और (y) के मान क्या हैं?
If (2x+4y=28) and (x-y=2), what are the values of (x) and (y)?
#linear equations
#substitution
#solution pair
#easy
#class 10
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A (x=6,\ y=4)
B (x=4,\ y=6)
C (x=8,\ y=3)
D (x=5,\ y=5)
Explanation opens after your attempt
Correct Answer
A. (x=6,\ y=4)
Step 1
Concept
Substituting (x=y+2) gives (2y+4+4y=28), so (y=4) and (x=6). Choose a simple relation before substitution.
Step 2
Why this answer is correct
The correct answer is A. (x=6,\ y=4). Substituting (x=y+2) gives (2y+4+4y=28), so (y=4) and (x=6). Choose a simple relation before substitution.
Step 3
Exam Tip
(x=y+2) रखने पर (2y+4+4y=28), इसलिए (y=4) और (x=6)। प्रतिस्थापन से पहले सरल संबंध चुनें।
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समीकरणों (x+2y=18) और (x=8) में (y) कितना है?
In the equations (x+2y=18) and (x=8), what is (y)?
#linear equations
#substitution
#value of y
#easy
#class 10
50 50-50 2 wrong hide
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A (y=4)
B (y=5)
C (y=6)
D (y=7)
Explanation opens after your attempt
Step 1
Concept
Putting (x=8) gives (8+2y=18), so (y=5). Check the final value even in simple substitution.
Step 2
Why this answer is correct
The correct answer is B. (y=5). Putting (x=8) gives (8+2y=18), so (y=5). Check the final value even in simple substitution.
Step 3
Exam Tip
(x=8) रखने पर (8+2y=18), इसलिए (y=5)। सरल प्रतिस्थापन में भी अंतिम मान जांचें।
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यदि (3x-y=18) और (x=7), तो (y) का मान क्या होगा?
If (3x-y=18) and (x=7), what will be the value of (y)?
#linear equations
#substitution
#negative variable
#easy
#class 10
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A (y=1)
B (y=2)
C (y=3)
D (y=4)
Explanation opens after your attempt
Step 1
Concept
Putting (x=7) gives (21-y=18), so (y=3). Watch the signs while solving a negative variable.
Step 2
Why this answer is correct
The correct answer is C. (y=3). Putting (x=7) gives (21-y=18), so (y=3). Watch the signs while solving a negative variable.
Step 3
Exam Tip
(x=7) रखने पर (21-y=18), इसलिए (y=3)। ऋण चर को हल करते समय चिन्हों का ध्यान रखें।
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समीकरणों (2x+3y=22) और (2x+y=12) से (y) का मान ज्ञात कीजिए।
Find the value of (y) from (2x+3y=22) and (2x+y=12).
#linear equations
#elimination
#value of y
#easy
#class 10
50 50-50 2 wrong hide
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A (y=2)
B (y=3)
C (y=4)
D (y=5)
Explanation opens after your attempt
Step 1
Concept
Subtracting the second equation from the first gives (2y=10), so (y=5). Eliminate the equal (2x) terms.
Step 2
Why this answer is correct
The correct answer is D. (y=5). Subtracting the second equation from the first gives (2y=10), so (y=5). Eliminate the equal (2x) terms.
Step 3
Exam Tip
पहले समीकरण से दूसरा घटाने पर (2y=10), इसलिए (y=5)। समान (2x) पदों को विलोपित करें।
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यदि (x-y=8) और (y=5), तो (x) का मान क्या है?
If (x-y=8) and (y=5), what is the value of (x)?
#linear equations
#substitution
#value of x
#easy
#class 10
50 50-50 2 wrong hide
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A (x=13)
B (x=12)
C (x=11)
D (x=10)
Explanation opens after your attempt
Step 1
Concept
Putting (y=5) gives (x-5=8), so (x=13). Substitute the given value in the original equation.
Step 2
Why this answer is correct
The correct answer is A. (x=13). Putting (y=5) gives (x-5=8), so (x=13). Substitute the given value in the original equation.
Step 3
Exam Tip
(y=5) रखने पर (x-5=8), इसलिए (x=13)। दिए हुए मान को मूल समीकरण में रखें।
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दो संख्याओं (x) और (y) का योग (20) है और (y=8), तो (x) का मान क्या होगा?
The sum of two numbers (x) and (y) is (20), and (y=8). What will be the value of (x)?
#linear equations
#word problem
#substitution
#easy
#class 10
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A (x=10)
B (x=12)
C (x=14)
D (x=16)
Explanation opens after your attempt
Step 1
Concept
Putting (y=8) in (x+y=20) gives (x=12). First write the equation clearly from the words.
Step 2
Why this answer is correct
The correct answer is B. (x=12). Putting (y=8) in (x+y=20) gives (x=12). First write the equation clearly from the words.
Step 3
Exam Tip
समीकरण (x+y=20) में (y=8) रखने पर (x=12)। शब्दों से बने समीकरण को पहले साफ लिखें।
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समीकरणों (5x-y=25) और (x+y=11) से (x) कितना है?
From (5x-y=25) and (x+y=11), what is (x)?
#linear equations
#elimination
#value of x
#easy
#class 10
50 50-50 2 wrong hide
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A (x=4)
B (x=5)
C (x=6)
D (x=7)
Explanation opens after your attempt
Step 1
Concept
Adding both equations gives (6x=36), so (x=6). It is easy to eliminate opposite (y) terms by addition.
Step 2
Why this answer is correct
The correct answer is C. (x=6). Adding both equations gives (6x=36), so (x=6). It is easy to eliminate opposite (y) terms by addition.
Step 3
Exam Tip
दोनों समीकरण जोड़ने पर (6x=36), इसलिए (x=6)। विपरीत (y) पदों को जोड़कर हटाना आसान है।
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यदि (x=14-3y) और (x+y=8), तो (y) का मान क्या है?
If (x=14-3y) and (x+y=8), what is the value of (y)?
#linear equations
#substitution
#value of y
#easy
#class 10
50 50-50 2 wrong hide
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A (y=1)
B (y=2)
C (y=4)
D (y=3)
Explanation opens after your attempt
Step 1
Concept
Substituting (x=14-3y) gives (14-2y=8), so (y=3). After substitution, keep variable terms on one side.
Step 2
Why this answer is correct
The correct answer is D. (y=3). Substituting (x=14-3y) gives (14-2y=8), so (y=3). After substitution, keep variable terms on one side.
Step 3
Exam Tip
(x=14-3y) रखने पर (14-2y=8), इसलिए (y=3)। प्रतिस्थापन के बाद चर वाले पद एक तरफ रखें।
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समीकरणों (4x-y=22) और (x-y=4) से (x) का मान ज्ञात कीजिए।
Find the value of (x) from (4x-y=22) and (x-y=4).
#linear equations
#elimination
#value of x
#easy
#class 10
50 50-50 2 wrong hide
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? Hint Small clue
A (x=6)
B (x=5)
C (x=4)
D (x=3)
Explanation opens after your attempt
Step 1
Concept
Subtracting the second equation from the first gives (3x=18), so (x=6). Subtract to remove equal (-y) terms.
Step 2
Why this answer is correct
The correct answer is A. (x=6). Subtracting the second equation from the first gives (3x=18), so (x=6). Subtract to remove equal (-y) terms.
Step 3
Exam Tip
पहले समीकरण से दूसरा घटाने पर (3x=18), इसलिए (x=6)। समान (-y) हटाने के लिए घटाएं।
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यदि (2x+y=16) और (y=2x), तो सही हल कौन-सा है?
If (2x+y=16) and (y=2x), which is the correct solution?
#linear equations
#substitution
#solution pair
#easy
#class 10
50 50-50 2 wrong hide
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? Hint Small clue
A (x=2,\ y=4)
B (x=3,\ y=6)
C (x=4,\ y=8)
D (x=5,\ y=10)
Explanation opens after your attempt
Correct Answer
C. (x=4,\ y=8)
Step 1
Concept
Substituting (y=2x) gives (4x=16), so (x=4) and (y=8). Substitute the ratio relation directly.
Step 2
Why this answer is correct
The correct answer is C. (x=4,\ y=8). Substituting (y=2x) gives (4x=16), so (x=4) and (y=8). Substitute the ratio relation directly.
Step 3
Exam Tip
(y=2x) रखने पर (4x=16), इसलिए (x=4) और (y=8)। अनुपात वाले संबंध को सीधे रखें।
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समीकरणों (x+3y=23) और (y=6) में (x) कितना है?
In the equations (x+3y=23) and (y=6), what is (x)?
#linear equations
#substitution
#value of x
#easy
#class 10
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (x=4)
B (x=5)
C (x=6)
D (x=7)
Explanation opens after your attempt
Step 1
Concept
Putting (y=6) gives (x+18=23), so (x=5). Multiply correctly while substituting the given value.
Step 2
Why this answer is correct
The correct answer is B. (x=5). Putting (y=6) gives (x+18=23), so (x=5). Multiply correctly while substituting the given value.
Step 3
Exam Tip
(y=6) रखने पर (x+18=23), इसलिए (x=5)। दिए मान को रखते समय गुणा ठीक करें।
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यदि (y=x+2) और (3x+y=18), तो (x) और (y) के मान क्या हैं?
If (y=x+2) and (3x+y=18), what are the values of (x) and (y)?
#linear equations
#substitution
#solution pair
#easy
#class 10
50 50-50 2 wrong hide
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+10 Time+ 10 sec extra
? Hint Small clue
A (x=3,\ y=5)
B (x=5,\ y=7)
C (x=6,\ y=4)
D (x=4,\ y=6)
Explanation opens after your attempt
Correct Answer
D. (x=4,\ y=6)
Step 1
Concept
Substituting (y=x+2) gives (4x+2=18), so (x=4) and (y=6). Find (x) first, then substitute for (y).
Step 2
Why this answer is correct
The correct answer is D. (x=4,\ y=6). Substituting (y=x+2) gives (4x+2=18), so (x=4) and (y=6). Find (x) first, then substitute for (y).
Step 3
Exam Tip
(y=x+2) रखने पर (4x+2=18), इसलिए (x=4) और (y=6)। पहले (x) निकालें फिर (y) में रखें।
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समीकरणों (5x+y=31) और (3x+y=19) से (x) का मान क्या है?
What is the value of (x) from (5x+y=31) and (3x+y=19)?
#linear equations
#elimination
#value of x
#easy
#class 10
50 50-50 2 wrong hide
⏭ Skip Next question
+10 Time+ 10 sec extra
? Hint Small clue
A (x=6)
B (x=5)
C (x=4)
D (x=3)
Explanation opens after your attempt
Step 1
Concept
Subtracting the second equation from the first gives (2x=12), so (x=6). Use elimination immediately on equal (y) terms.
Step 2
Why this answer is correct
The correct answer is A. (x=6). Subtracting the second equation from the first gives (2x=12), so (x=6). Use elimination immediately on equal (y) terms.
Step 3
Exam Tip
पहले समीकरण से दूसरा घटाने पर (2x=12), इसलिए (x=6)। समान (y) पदों पर विलोपन तुरंत करें।
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यदि (x+4y=19) और (x-y=4), तो (x) और (y) के मान क्या होंगे?
If (x+4y=19) and (x-y=4), what will be the values of (x) and (y)?
#linear equations
#substitution
#solution pair
#easy
#class 10
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A (x=6,\ y=4)
B (x=8,\ y=2)
C (x=7,\ y=3)
D (x=5,\ y=5)
Explanation opens after your attempt
Correct Answer
C. (x=7,\ y=3)
Step 1
Concept
From the second equation (x=y+4); substituting gives (5y+4=19), so (y=3) and (x=7). Choose the simpler equation for substitution.
Step 2
Why this answer is correct
The correct answer is C. (x=7,\ y=3). From the second equation (x=y+4); substituting gives (5y+4=19), so (y=3) and (x=7). Choose the simpler equation for substitution.
Step 3
Exam Tip
दूसरे समीकरण से (x=y+4); रखने पर (5y+4=19), इसलिए (y=3) और (x=7)। प्रतिस्थापन के लिए सरल समीकरण चुनें।
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समीकरणों (6x+y=41) और (x+y=11) को हल करने पर (y) कितना होगा?
On solving (6x+y=41) and (x+y=11), what is (y)?
#linear equations
#elimination
#value of y
#easy
#class 10
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A (y=4)
B (y=5)
C (y=6)
D (y=7)
Explanation opens after your attempt
Step 1
Concept
Subtracting the second equation from the first gives (5x=30), so (x=6) and (y=5). After finding one variable, find the other immediately.
Step 2
Why this answer is correct
The correct answer is B. (y=5). Subtracting the second equation from the first gives (5x=30), so (x=6) and (y=5). After finding one variable, find the other immediately.
Step 3
Exam Tip
पहले समीकरण से दूसरा घटाने पर (5x=30), इसलिए (x=6) और (y=5)। एक चर मिलने के बाद तुरंत दूसरा निकालें।
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यदि (3x-2y=4) और (x=4), तो (y) का मान क्या है?
If (3x-2y=4) and (x=4), what is the value of (y)?
#linear equations
#substitution
#negative coefficient
#easy
#class 10
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A (y=1)
B (y=2)
C (y=3)
D (y=4)
Explanation opens after your attempt
Step 1
Concept
Putting (x=4) gives (12-2y=4), so (y=4). Check signs while solving a term with a negative coefficient.
Step 2
Why this answer is correct
The correct answer is D. (y=4). Putting (x=4) gives (12-2y=4), so (y=4). Check signs while solving a term with a negative coefficient.
Step 3
Exam Tip
(x=4) रखने पर (12-2y=4), इसलिए (y=4)। ऋण गुणांक वाले पद को हल करते समय चिन्ह जांचें।
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यदि (x=3y+2) और (x+y=18), तो सही हल कौन-सा है?
If (x=3y+2) and (x+y=18), which is the correct solution?
#linear equations
#substitution
#solution pair
#easy
#class 10
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A (x=14,\ y=4)
B (x=12,\ y=6)
C (x=10,\ y=8)
D (x=8,\ y=10)
Explanation opens after your attempt
Correct Answer
A. (x=14,\ y=4)
Step 1
Concept
Substituting (x=3y+2) gives (4y+2=18), so (y=4) and (x=14). Put the given relation directly into the main equation.
Step 2
Why this answer is correct
The correct answer is A. (x=14,\ y=4). Substituting (x=3y+2) gives (4y+2=18), so (y=4) and (x=14). Put the given relation directly into the main equation.
Step 3
Exam Tip
(x=3y+2) रखने पर (4y+2=18), इसलिए (y=4) और (x=14)। बने हुए संबंध को सीधे मुख्य समीकरण में रखें।
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समीकरणों (2x+5y=31) और (2x+y=15) से (y) का मान ज्ञात कीजिए।
Find the value of (y) from (2x+5y=31) and (2x+y=15).
#linear equations
#elimination
#value of y
#easy
#class 10
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A (y=3)
B (y=4)
C (y=5)
D (y=6)
Explanation opens after your attempt
Step 1
Concept
Subtracting the second equation from the first gives (4y=16), so (y=4). Subtract to remove equal (2x).
Step 2
Why this answer is correct
The correct answer is B. (y=4). Subtracting the second equation from the first gives (4y=16), so (y=4). Subtract to remove equal (2x).
Step 3
Exam Tip
पहले समीकरण से दूसरा घटाने पर (4y=16), इसलिए (y=4)। समान (2x) को हटाने के लिए घटाएं।
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यदि (x+2y=21) और (y=8), तो (x) का मान क्या होगा?
If (x+2y=21) and (y=8), what will be the value of (x)?
#linear equations
#substitution
#value of x
#easy
#class 10
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A (x=3)
B (x=4)
C (x=5)
D (x=6)
Explanation opens after your attempt
Step 1
Concept
Putting (y=8) gives (x+16=21), so (x=5). Multiply first and then subtract.
Step 2
Why this answer is correct
The correct answer is C. (x=5). Putting (y=8) gives (x+16=21), so (x=5). Multiply first and then subtract.
Step 3
Exam Tip
(y=8) रखने पर (x+16=21), इसलिए (x=5)। पहले गुणा करें फिर घटाएं।
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समीकरणों (4x+2y=38) और (x-y=5) का हल क्या है?
What is the solution of (4x+2y=38) and (x-y=5)?
#linear equations
#substitution
#simplification
#easy
#class 10
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A (x=6,\ y=1)
B (x=7,\ y=2)
C (x=9,\ y=4)
D (x=8,\ y=3)
Explanation opens after your attempt
Correct Answer
D. (x=8,\ y=3)
Step 1
Concept
The first equation becomes (2x+y=19), and substituting (y=x-5) gives (3x-5=19). Simplifying the equation first saves time.
Step 2
Why this answer is correct
The correct answer is D. (x=8,\ y=3). The first equation becomes (2x+y=19), and substituting (y=x-5) gives (3x-5=19). Simplifying the equation first saves time.
Step 3
Exam Tip
पहला समीकरण (2x+y=19) बनता है और (y=x-5) रखने पर (3x-5=19)। समीकरण को पहले सरल करना समय बचाता है।
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यदि (3x+y=15) और (x+3y=13), तो (x) और (y) के मान क्या हैं?
If (3x+y=15) and (x+3y=13), what are the values of (x) and (y)?
#linear equations
#substitution
#solution pair
#easy
#class 10
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A (x=4,\ y=3)
B (x=3,\ y=4)
C (x=5,\ y=2)
D (x=2,\ y=5)
Explanation opens after your attempt
Correct Answer
A. (x=4,\ y=3)
Step 1
Concept
From the first equation (y=15-3x); substituting gives (x+45-9x=13), so (x=4) and (y=3). Isolate the simpler variable in substitution.
Step 2
Why this answer is correct
The correct answer is A. (x=4,\ y=3). From the first equation (y=15-3x); substituting gives (x+45-9x=13), so (x=4) and (y=3). Isolate the simpler variable in substitution.
Step 3
Exam Tip
पहले समीकरण से (y=15-3x); रखने पर (x+45-9x=13), इसलिए (x=4) और (y=3)। प्रतिस्थापन में सरल चर अलग करें।
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समीकरणों (x+2y=16) और (2x+y=14) का सही हल कौन-सा है?
Which is the correct solution of (x+2y=16) and (2x+y=14)?
#linear equations
#elimination
#solution pair
#easy
#class 10
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A (x=5,\ y=5)
B (x=4,\ y=6)
C (x=6,\ y=4)
D (x=3,\ y=7)
Explanation opens after your attempt
Correct Answer
B. (x=4,\ y=6)
Step 1
Concept
Subtracting the equations gives (x-y=-2), so (x=y-2); substituting gives (y=6) and (x=4). Put the relation obtained by elimination into an original equation.
Step 2
Why this answer is correct
The correct answer is B. (x=4,\ y=6). Subtracting the equations gives (x-y=-2), so (x=y-2); substituting gives (y=6) and (x=4). Put the relation obtained by elimination into an original equation.
Step 3
Exam Tip
दोनों समीकरण घटाने पर (x-y=-2), इसलिए (x=y-2); रखने पर (y=6) और (x=4)। विलोपन के बाद मिले संबंध को मूल समीकरण में रखें।
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