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
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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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
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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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
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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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
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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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
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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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
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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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
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 (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
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 (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
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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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
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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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
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=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
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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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
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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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
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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प्रतिस्थापन विधि से (x+y=17) और (y=x+3) का हल ज्ञात करें।
Find the solution of (x+y=17) and (y=x+3) by substitution.
#linear equations
#substitution
#one variable equation
#easy
#class 10
A ( (6,11) )
B ( (8,9) )
C ( (7,10) )
D ( (5,12) )
Explanation opens after your attempt
Correct Answer
C. ( (7,10) )
Step 1
Concept
Putting (y=x+3) gives (2x+3=17), so (x=7) and (y=10). Solve the one-variable equation formed after substitution.
Step 2
Why this answer is correct
The correct answer is C. ( (7,10) ). Putting (y=x+3) gives (2x+3=17), so (x=7) and (y=10). Solve the one-variable equation formed after substitution.
Step 3
Exam Tip
(y=x+3) रखने पर (2x+3=17), इसलिए (x=7) और (y=10)। प्रतिस्थापन के बाद बने एक चर के समीकरण को हल करें।
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समीकरण (y=12-2x) में (x=5) रखने पर (y) क्या होगा?
In (y=12-2x), if (x=5), what is (y)?
#linear equations
#substitution
#expression value
#easy
#class 10
A (y=1)
B (y=2)
C (y=3)
D (y=4)
Explanation opens after your attempt
Step 1
Concept
(y=12-10=2). Multiply first and then subtract.
Step 2
Why this answer is correct
The correct answer is B. (y=2). (y=12-10=2). Multiply first and then subtract.
Step 3
Exam Tip
(y=12-10=2)। पहले गुणा करें और फिर घटाव करें।
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यदि (x-3y=1) और (y=2), तो (x) का मान क्या है?
If (x-3y=1) and (y=2), what is the value of (x)?
#linear equations
#substitution
#find x
#easy
#class 10
A (x=5)
B (x=6)
C (x=8)
D (x=7)
Explanation opens after your attempt
Step 1
Concept
(x-6=1), so (x=7). After substitution, move the constant term to the other side.
Step 2
Why this answer is correct
The correct answer is D. (x=7). (x-6=1), so (x=7). After substitution, move the constant term to the other side.
Step 3
Exam Tip
(x-6=1), इसलिए (x=7)। प्रतिस्थापन के बाद स्थिर पद को दूसरी तरफ ले जाएँ।
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समीकरण (x+y=15) और (x=2y) का हल क्या है?
What is the solution of (x+y=15) and (x=2y)?
#linear equations
#substitution
#ratio relation
#easy
#class 10
A ( (8,7) )
B ( (10,5) )
C ( (9,6) )
D ( (12,3) )
Explanation opens after your attempt
Correct Answer
B. ( (10,5) )
Step 1
Concept
Putting (x=2y) gives (3y=15), so (y=5) and (x=10). Substitution is easiest when a ratio relation is given.
Step 2
Why this answer is correct
The correct answer is B. ( (10,5) ). Putting (x=2y) gives (3y=15), so (y=5) and (x=10). Substitution is easiest when a ratio relation is given.
Step 3
Exam Tip
(x=2y) रखने पर (3y=15), इसलिए (y=5) और (x=10)। अनुपात वाले संबंध में प्रतिस्थापन सबसे आसान रहता है।
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समीकरण (3x-y=7) में (x=3) रखने पर (y) क्या होगा?
In (3x-y=7), if (x=3), what is (y)?
#linear equations
#substitution
#minus sign
#easy
#class 10
A (y=2)
B (y=3)
C (y=4)
D (y=5)
Explanation opens after your attempt
Step 1
Concept
(9-y=7), so (y=2). Be careful while solving a term with a negative sign.
Step 2
Why this answer is correct
The correct answer is A. (y=2). (9-y=7), so (y=2). Be careful while solving a term with a negative sign.
Step 3
Exam Tip
(9-y=7), इसलिए (y=2)। ऋण चिह्न वाले पद को हल करते समय सावधानी रखें।
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यदि (y=10-x) और (x=4), तो (y) का मान क्या है?
If (y=10-x) and (x=4), what is the value of (y)?
#linear equations
#substitution
#value
#easy
#class 10
A (y=4)
B (y=5)
C (y=7)
D (y=6)
Explanation opens after your attempt
Step 1
Concept
(y=10-4=6). In substitution, place the given value in the correct position.
Step 2
Why this answer is correct
The correct answer is D. (y=6). (y=10-4=6). In substitution, place the given value in the correct position.
Step 3
Exam Tip
(y=10-4=6)। प्रतिस्थापन में दिए गए मान को सही स्थान पर रखें।
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प्रतिस्थापन विधि से (2x+y=16) और (x-y=2) को हल करें।
Solve (2x+y=16) and (x-y=2) by substitution.
#linear equations
#substitution
#two equations
#easy
#class 10
A ( (5,6) )
B ( (6,4) )
C ( (4,8) )
D ( (7,2) )
Explanation opens after your attempt
Correct Answer
B. ( (6,4) )
Step 1
Concept
From (x-y=2), (y=x-2), so (2x+x-2=16) and (x=6). Then (y=4).
Step 2
Why this answer is correct
The correct answer is B. ( (6,4) ). From (x-y=2), (y=x-2), so (2x+x-2=16) and (x=6). Then (y=4).
Step 3
Exam Tip
(x-y=2) से (y=x-2), इसलिए (2x+x-2=16) और (x=6)। फिर (y=4) मिलेगा।
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समीकरण (y=x+4) और (x+y=18) का हल क्या है?
What is the solution of (y=x+4) and (x+y=18)?
#linear equations
#substitution
#solution pair
#easy
#class 10
A ( (6,12) )
B ( (8,10) )
C ( (7,11) )
D ( (9,9) )
Explanation opens after your attempt
Correct Answer
C. ( (7,11) )
Step 1
Concept
Putting (y=x+4) gives (2x+4=18), so (x=7) and (y=11). In exams, put the expression directly into the other equation.
Step 2
Why this answer is correct
The correct answer is C. ( (7,11) ). Putting (y=x+4) gives (2x+4=18), so (x=7) and (y=11). In exams, put the expression directly into the other equation.
Step 3
Exam Tip
(y=x+4) रखने पर (2x+4=18), इसलिए (x=7) और (y=11)। परीक्षा में अभिव्यक्ति को सीधे दूसरे समीकरण में रखें।
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समीकरणों (x+2y=17) और (y=6) से (x) का मान ज्ञात कीजिए।
Find the value of (x) from (x+2y=17) and (y=6).
#linear equations
#substitution
#value of x
#easy
#class 10
A (x=3)
B (x=4)
C (x=5)
D (x=6)
Explanation opens after your attempt
Step 1
Concept
Putting (y=6) gives (x+12=17), so (x=5). The given value quickly gives the other variable.
Step 2
Why this answer is correct
The correct answer is C. (x=5). Putting (y=6) gives (x+12=17), so (x=5). The given value quickly gives the other variable.
Step 3
Exam Tip
(y=6) रखने पर (x+12=17), इसलिए (x=5)। सीधे दिए गए मान से दूसरा चर जल्दी मिलता है।
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समीकरणों (x=2y+1) और (x+y=13) का हल क्या है?
What is the solution of (x=2y+1) and (x+y=13)?
#linear equations
#substitution
#solution pair
#easy
#class 10
A (x=7,\ y=6)
B (x=8,\ y=5)
C (x=9,\ y=4)
D (x=10,\ y=3)
Explanation opens after your attempt
Correct Answer
C. (x=9,\ y=4)
Step 1
Concept
Substituting (x=2y+1) gives (3y+1=13), so (y=4) and (x=9). Combine like terms after substitution.
Step 2
Why this answer is correct
The correct answer is C. (x=9,\ y=4). Substituting (x=2y+1) gives (3y+1=13), so (y=4) and (x=9). Combine like terms after substitution.
Step 3
Exam Tip
(x=2y+1) रखने पर (3y+1=13), इसलिए (y=4) और (x=9)। प्रतिस्थापन के बाद समान पद जोड़ें।
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यदि (2x-3y=1) और (x=5), तो (y) का मान क्या है?
If (2x-3y=1) and (x=5), what is the value of (y)?
#linear equations
#substitution
#negative term
#easy
#class 10
A (y=3)
B (y=4)
C (y=5)
D (y=6)
Explanation opens after your attempt
Step 1
Concept
Putting (x=5) gives (10-3y=1), so (y=3). Watch the signs while solving a negative term.
Step 2
Why this answer is correct
The correct answer is A. (y=3). Putting (x=5) gives (10-3y=1), so (y=3). Watch the signs while solving a negative term.
Step 3
Exam Tip
(x=5) रखने पर (10-3y=1), इसलिए (y=3)। ऋण पद को हल करते समय चिन्हों का ध्यान रखें।
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यदि (x+3y=16) और (x-y=4), तो (x) और (y) के मान क्या हैं?
If (x+3y=16) and (x-y=4), what are the values of (x) and (y)?
#linear equations
#substitution
#solution pair
#easy
#class 10
A (x=6,\ y=4)
B (x=7,\ y=3)
C (x=8,\ y=2)
D (x=5,\ y=5)
Explanation opens after your attempt
Correct Answer
B. (x=7,\ y=3)
Step 1
Concept
From the second equation (x=y+4); substituting gives (4y+4=16), so (y=3) and (x=7). Choose the simpler equation for substitution.
Step 2
Why this answer is correct
The correct answer is B. (x=7,\ y=3). From the second equation (x=y+4); substituting gives (4y+4=16), so (y=3) and (x=7). Choose the simpler equation for substitution.
Step 3
Exam Tip
दूसरे समीकरण से (x=y+4); रखने पर (4y+4=16), इसलिए (y=3) और (x=7)। प्रतिस्थापन में सरल समीकरण चुनें।
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यदि (y=x-2) और (2x+y=13), तो सही हल कौन-सा है?
If (y=x-2) and (2x+y=13), which is the correct solution?
#linear equations
#substitution
#solution pair
#easy
#class 10
A (x=5,\ y=3)
B (x=4,\ y=5)
C (x=3,\ y=5)
D (x=6,\ y=2)
Explanation opens after your attempt
Correct Answer
A. (x=5,\ y=3)
Step 1
Concept
Substituting (y=x-2) gives (3x-2=13), so (x=5) and (y=3). Using the isolated variable makes solving easier.
Step 2
Why this answer is correct
The correct answer is A. (x=5,\ y=3). Substituting (y=x-2) gives (3x-2=13), so (x=5) and (y=3). Using the isolated variable makes solving easier.
Step 3
Exam Tip
(y=x-2) रखने पर (3x-2=13), इसलिए (x=5) और (y=3)। अलग किए हुए चर का उपयोग करना आसान रहता है।
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समीकरणों (3x+2y=22) और (x=4) में (y) का मान क्या है?
In the equations (3x+2y=22) and (x=4), what is the value of (y)?
#linear equations
#substitution
#value of y
#easy
#class 10
A (y=3)
B (y=4)
C (y=5)
D (y=6)
Explanation opens after your attempt
Step 1
Concept
Putting (x=4) gives (12+2y=22), so (y=5). Substitute the given value directly and simplify.
Step 2
Why this answer is correct
The correct answer is C. (y=5). Putting (x=4) gives (12+2y=22), so (y=5). Substitute the given value directly and simplify.
Step 3
Exam Tip
(x=4) रखने पर (12+2y=22), इसलिए (y=5)। दिए हुए मान को सीधे रखकर समीकरण सरल करें।
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समीकरण (x+3y=15) और (y=3) से (x) क्या होगा?
From (x+3y=15) and (y=3), what is (x)?
#linear equations
#substitution
#find x
#easy
#class 10
A (x=3)
B (x=6)
C (x=9)
D (x=12)
Explanation opens after your attempt
Step 1
Concept
(x+9=15), so (x=6). After substitution, solve the remaining one-variable equation.
Step 2
Why this answer is correct
The correct answer is B. (x=6). (x+9=15), so (x=6). After substitution, solve the remaining one-variable equation.
Step 3
Exam Tip
(x+9=15), इसलिए (x=6)। प्रतिस्थापन के बाद शेष एक चर का समीकरण हल करें।
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यदि (2x-y=1) और (x=5), तो (y) का मान क्या है?
If (2x-y=1) and (x=5), what is (y)?
#linear equations
#substitution
#negative coefficient
#easy
#class 10
A (y=9)
B (y=8)
C (y=7)
D (y=6)
Explanation opens after your attempt
Step 1
Concept
(10-y=1), so (y=9). In this type of question, solve (-y) correctly.
Step 2
Why this answer is correct
The correct answer is A. (y=9). (10-y=1), so (y=9). In this type of question, solve (-y) correctly.
Step 3
Exam Tip
(10-y=1), इसलिए (y=9)। इस प्रकार के प्रश्न में (-y) को सही तरह हल करें।
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