समीकरण (y=x-1) और (x=6) के लिए (y) क्या है?
For (y=x-1) and (x=6), what is (y)?
#linear equations
#substitution
#simple expression
#easy
#class 10
A (y=4)
B (y=6)
C (y=5)
D (y=7)
Explanation opens after your attempt
Step 1
Concept
(y=6-1=5). Even small subtractions should be done carefully in substitution.
Step 2
Why this answer is correct
The correct answer is C. (y=5). (y=6-1=5). Even small subtractions should be done carefully in substitution.
Step 3
Exam Tip
(y=6-1=5)। प्रतिस्थापन में छोटे घटाव भी ध्यान से करें।
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यदि (3x+2y=17) और (x=3), तो (y) का मान क्या है?
If (3x+2y=17) and (x=3), what is the value of (y)?
#linear equations
#substitution
#two step
#easy
#class 10
A (y=2)
B (y=4)
C (y=6)
D (y=8)
Explanation opens after your attempt
Step 1
Concept
(9+2y=17), so (2y=8) and (y=4). Multiply first and then divide.
Step 2
Why this answer is correct
The correct answer is B. (y=4). (9+2y=17), so (2y=8) and (y=4). Multiply first and then divide.
Step 3
Exam Tip
(9+2y=17), इसलिए (2y=8) और (y=4)। पहले गुणा करें फिर भाग दें।
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समीकरण (x=2) और (y=x+5) से ((x,y)) क्या है?
From (x=2) and (y=x+5), what is ((x,y))?
#linear equations
#substitution
#ordered pair
#easy
#class 10
A ( (5,2) )
B ( (2,5) )
C ( (7,2) )
D ( (2,7) )
Explanation opens after your attempt
Correct Answer
D. ( (2,7) )
Step 1
Concept
(y=2+5=7), so the solution is ( (2,7) ). Write the value of (x) first in an ordered pair.
Step 2
Why this answer is correct
The correct answer is D. ( (2,7) ). (y=2+5=7), so the solution is ( (2,7) ). Write the value of (x) first in an ordered pair.
Step 3
Exam Tip
(y=2+5=7), इसलिए हल ( (2,7) ) है। युग्म लिखते समय (x) का मान पहले रखें।
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यदि (x-y=6) और (y=2), तो (x) का मान क्या होगा?
If (x-y=6) and (y=2), what is the value of (x)?
#linear equations
#substitution
#minus equation
#easy
#class 10
A (x=6)
B (x=7)
C (x=8)
D (x=9)
Explanation opens after your attempt
Step 1
Concept
(x-2=6), so (x=8). Put (y) with the correct sign in a subtraction equation.
Step 2
Why this answer is correct
The correct answer is C. (x=8). (x-2=6), so (x=8). Put (y) with the correct sign in a subtraction equation.
Step 3
Exam Tip
(x-2=6), इसलिए (x=8)। घटाव समीकरण में (y) को सही चिह्न के साथ रखें।
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(x+2y=11) और (y=4) के लिए (x) का मान क्या है?
For (x+2y=11) and (y=4), what is (x)?
#linear equations
#substitution
#one step
#easy
#class 10
A (x=3)
B (x=5)
C (x=7)
D (x=9)
Explanation opens after your attempt
Step 1
Concept
(x+8=11), so (x=3). After substitution, move the constant term to the other side.
Step 2
Why this answer is correct
The correct answer is A. (x=3). (x+8=11), so (x=3). After substitution, move the constant term to the other side.
Step 3
Exam Tip
(x+8=11), इसलिए (x=3)। प्रतिस्थापन के बाद स्थिर पद को दूसरी तरफ ले जाएँ।
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समीकरण (x=10-y) और (y=7) से (x) क्या होगा?
From (x=10-y) and (y=7), what is (x)?
#linear equations
#substitution
#expression value
#easy
#class 10
A (x=7)
B (x=5)
C (x=4)
D (x=3)
Explanation opens after your attempt
Step 1
Concept
(x=10-7=3). In substitution, place the value in the given expression.
Step 2
Why this answer is correct
The correct answer is D. (x=3). (x=10-7=3). In substitution, place the value in the given expression.
Step 3
Exam Tip
(x=10-7=3)। प्रतिस्थापन में दी गई अभिव्यक्ति में मान रखें।
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यदि (x+y=13) और (x=9), तो (y) का सही मान चुनें।
If (x+y=13) and (x=9), choose the correct value of (y).
#linear equations
#substitution
#easy value
#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=13), so (y=4). After placing the given value, do simple subtraction.
Step 2
Why this answer is correct
The correct answer is C. (y=4). (9+y=13), so (y=4). After placing the given value, do simple subtraction.
Step 3
Exam Tip
(9+y=13), इसलिए (y=4)। दिए गए मान को रखने के बाद सरल घटाव करें।
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(4x-y=10) में (x=3) रखने पर (y) का मान क्या है?
In (4x-y=10), if (x=3), what is (y)?
#linear equations
#substitution
#sign care
#easy
#class 10
A (y=2)
B (y=3)
C (y=4)
D (y=5)
Explanation opens after your attempt
Step 1
Concept
(12-y=10), so (y=2). Avoid sign mistakes in subtraction equations.
Step 2
Why this answer is correct
The correct answer is A. (y=2). (12-y=10), so (y=2). Avoid sign mistakes in subtraction equations.
Step 3
Exam Tip
(12-y=10), इसलिए (y=2)। घटाव वाले समीकरण में चिह्न बदलने से बचें।
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यदि (x=2y) और (y=3), तो ((x,y)) क्या है?
If (x=2y) and (y=3), what is ((x,y))?
#linear equations
#substitution
#ordered pair
#easy
#class 10
A ( (2,3) )
B ( (3,6) )
C ( (4,3) )
D ( (6,3) )
Explanation opens after your attempt
Correct Answer
D. ( (6,3) )
Step 1
Concept
(x=2(3)=6), so the pair is ( (6,3) ). Keep the order as (x) first and (y) second.
Step 2
Why this answer is correct
The correct answer is D. ( (6,3) ). (x=2(3)=6), so the pair is ( (6,3) ). Keep the order as (x) first and (y) second.
Step 3
Exam Tip
(x=2(3)=6), इसलिए युग्म ( (6,3) ) है। क्रम (x) पहले और (y) बाद में रखें।
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समीकरण (y=3x) और (x+y=16) का हल कौन-सा है?
Which is the solution of (y=3x) and (x+y=16)?
#linear equations
#substitution
#multiple relation
#easy
#class 10
A ( (3,13) )
B ( (4,12) )
C ( (5,11) )
D ( (6,10) )
Explanation opens after your attempt
Correct Answer
B. ( (4,12) )
Step 1
Concept
Putting (y=3x) gives (4x=16), so (x=4) and (y=12). Substitution is fast when one variable is a multiple of the other.
Step 2
Why this answer is correct
The correct answer is B. ( (4,12) ). Putting (y=3x) gives (4x=16), so (x=4) and (y=12). Substitution is fast when one variable is a multiple of the other.
Step 3
Exam Tip
(y=3x) रखने पर (4x=16), इसलिए (x=4) और (y=12)। अनुपात वाले समीकरण में प्रतिस्थापन तेज होता है।
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(2x+3y=18) में (y=4) रखने पर (x) क्या होगा?
In (2x+3y=18), if (y=4), what is (x)?
#linear equations
#substitution
#calculation
#easy
#class 10
A (x=3)
B (x=4)
C (x=5)
D (x=6)
Explanation opens after your attempt
Step 1
Concept
(2x+12=18), so (2x=6) and (x=3). Multiply first and then separate the constant term.
Step 2
Why this answer is correct
The correct answer is A. (x=3). (2x+12=18), so (2x=6) and (x=3). Multiply first and then separate the constant term.
Step 3
Exam Tip
(2x+12=18), इसलिए (2x=6) और (x=3)। पहले गुणा करके स्थिर पद अलग करें।
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समीकरण (x-y=2) और (x=6) में (y) का मान क्या है?
In (x-y=2) and (x=6), what is the value of (y)?
#linear equations
#substitution
#negative term
#easy
#class 10
A (y=2)
B (y=4)
C (y=6)
D (y=8)
Explanation opens after your attempt
Step 1
Concept
(6-y=2), so (y=4). Do not rush when solving a term with a negative sign.
Step 2
Why this answer is correct
The correct answer is B. (y=4). (6-y=2), so (y=4). Do not rush when solving a term with a negative sign.
Step 3
Exam Tip
(6-y=2), इसलिए (y=4)। ऋण वाले पद को हल करते समय जल्दबाजी न करें।
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यदि (y=x+2) और (x=5), तो (y) क्या है?
If (y=x+2) and (x=5), what is (y)?
#linear equations
#substitution
#expression
#easy
#class 10
A (y=7)
B (y=6)
C (y=5)
D (y=3)
Explanation opens after your attempt
Step 1
Concept
(y=5+2=7). In substitution, write the given value in place of the variable.
Step 2
Why this answer is correct
The correct answer is A. (y=7). (y=5+2=7). In substitution, write the given value in place of the variable.
Step 3
Exam Tip
(y=5+2=7)। प्रतिस्थापन में चर की जगह दिया गया मान लिखें।
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समीकरण (x+y=10) और (y=6) से (x) का मान क्या होगा?
From (x+y=10) and (y=6), what is the value of (x)?
#linear equations
#substitution
#basic value
#easy
#class 10
A (x=2)
B (x=3)
C (x=4)
D (x=5)
Explanation opens after your attempt
Step 1
Concept
(x+6=10), so (x=4). In simple substitution, place the value directly.
Step 2
Why this answer is correct
The correct answer is C. (x=4). (x+6=10), so (x=4). In simple substitution, place the value directly.
Step 3
Exam Tip
(x+6=10), इसलिए (x=4)। सरल प्रतिस्थापन में मान सीधे रखें।
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यदि (2x-y=5) और (x=4), तो (y) का मान ज्ञात करें।
If (2x-y=5) and (x=4), find the value of (y).
#linear equations
#substitution
#minus sign
#easy
#class 10
A (y=1)
B (y=3)
C (y=5)
D (y=7)
Explanation opens after your attempt
Step 1
Concept
(8-y=5), so (y=3). When there is a minus sign, balance both sides carefully.
Step 2
Why this answer is correct
The correct answer is B. (y=3). (8-y=5), so (y=3). When there is a minus sign, balance both sides carefully.
Step 3
Exam Tip
(8-y=5), इसलिए (y=3)। समीकरण में ऋण चिह्न हो तो दोनों पक्षों को ध्यान से संतुलित करें।
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समीकरण (y=2x) और (x+y=12) का हल क्या है?
What is the solution of (y=2x) and (x+y=12)?
#linear equations
#substitution
#direct relation
#easy
#class 10
A ( (3,9) )
B ( (4,8) )
C ( (5,7) )
D ( (6,6) )
Explanation opens after your attempt
Correct Answer
B. ( (4,8) )
Step 1
Concept
Putting (y=2x) gives (3x=12), so (x=4) and (y=8). Add coefficients to solve quickly.
Step 2
Why this answer is correct
The correct answer is B. ( (4,8) ). Putting (y=2x) gives (3x=12), so (x=4) and (y=8). Add coefficients to solve quickly.
Step 3
Exam Tip
(y=2x) रखने पर (3x=12), इसलिए (x=4) और (y=8)। गुणांक जोड़कर जल्दी हल करें।
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समीकरण (y=x+1) और (x+y=7) को हल करें।
Solve the equations (y=x+1) and (x+y=7).
#linear equations
#substitution
#expression substitution
#easy
#class 10
A ( (3,4) )
B ( (4,3) )
C ( (2,5) )
D ( (5,2) )
Explanation opens after your attempt
Correct Answer
A. ( (3,4) )
Step 1
Concept
Substituting (y=x+1) gives (x+x+1=7), so (x=3) and (y=4). Put the given expression into the other equation first.
Step 2
Why this answer is correct
The correct answer is A. ( (3,4) ). Substituting (y=x+1) gives (x+x+1=7), so (x=3) and (y=4). Put the given expression into the other equation first.
Step 3
Exam Tip
(y=x+1) को रखने पर (x+x+1=7), इसलिए (x=3) और (y=4)। पहले दिए गए चर को दूसरे समीकरण में रखें।
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यदि (x=3) और (x+y=8), तो युग्म का हल क्या है?
If (x=3) and (x+y=8), what is the solution pair?
#linear equations
#substitution
#solution pair
#easy
#class 10
A ( (5,3) )
B ( (4,4) )
C ( (2,6) )
D ( (3,5) )
Explanation opens after your attempt
Correct Answer
D. ( (3,5) )
Step 1
Concept
(3+y=8), so (y=5) and the solution is ( (3,5) ). Always write the order as ( (x,y) ).
Step 2
Why this answer is correct
The correct answer is D. ( (3,5) ). (3+y=8), so (y=5) and the solution is ( (3,5) ). Always write the order as ( (x,y) ).
Step 3
Exam Tip
(3+y=8), इसलिए (y=5) और हल ( (3,5) ) है। क्रम हमेशा ( (x,y) ) में लिखें।
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समीकरण (x+2y=12) और (x=4) के लिए (y) का मान चुनें।
For the equations (x+2y=12) and (x=4), choose the value of (y).
#linear equations
#substitution
#one variable
#easy
#class 10
A (y=2)
B (y=4)
C (y=6)
D (y=8)
Explanation opens after your attempt
Step 1
Concept
(4+2y=12), so (2y=8) and (y=4). Apply the same operation on both sides.
Step 2
Why this answer is correct
The correct answer is B. (y=4). (4+2y=12), so (2y=8) and (y=4). Apply the same operation on both sides.
Step 3
Exam Tip
(4+2y=12), इसलिए (2y=8) और (y=4)। परीक्षा में दोनों तरफ बराबर क्रिया करें।
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प्रतिस्थापन विधि से (3x+y=10) में (x=2) रखने पर (y) क्या होगा?
Using substitution in (3x+y=10), if (x=2), what is (y)?
#linear equations
#substitution
#simple calculation
#easy
#class 10
A (y=4)
B (y=3)
C (y=2)
D (y=5)
Explanation opens after your attempt
Step 1
Concept
(3(2)+y=10), so (6+y=10) and (y=4). Multiply first and then subtract.
Step 2
Why this answer is correct
The correct answer is A. (y=4). (3(2)+y=10), so (6+y=10) and (y=4). Multiply first and then subtract.
Step 3
Exam Tip
(3(2)+y=10), इसलिए (6+y=10) और (y=4)। गुणा पहले और घटाव बाद में करें।
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यदि (x+y=9) और (y=4), तो (x) का मान क्या है?
If (x+y=9) and (y=4), what is the value of (x)?
#linear equations
#substitution
#basic
#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=4) gives (x+4=9), so (x=5). After substitution, use simple subtraction carefully.
Step 2
Why this answer is correct
The correct answer is C. (x=5). Putting (y=4) gives (x+4=9), so (x=5). After substitution, use simple subtraction carefully.
Step 3
Exam Tip
(y=4) रखने पर (x+4=9), इसलिए (x=5)। परीक्षा में प्रतिस्थापन के बाद सरल घटाव करें।
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यदि (2x+y=8) और (x=2), तो (y) का मान क्या होगा?
If (2x+y=8) and (x=2), what is the value of (y)?
#linear equations
#substitution
#value finding
#easy
#class 10
A (y=2)
B (y=4)
C (y=6)
D (y=8)
Explanation opens after your attempt
Step 1
Concept
Putting (x=2) gives (4+y=8), so (y=4). In exams, substitute the given value directly.
Step 2
Why this answer is correct
The correct answer is B. (y=4). Putting (x=2) gives (4+y=8), so (y=4). In exams, substitute the given value directly.
Step 3
Exam Tip
(x=2) रखने पर (4+y=8), इसलिए (y=4)। परीक्षा में दिए गए मान को सीधे समीकरण में रखें।
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प्रतिस्थापन विधि से हल करें: (x+y=7) और (x-y=1)। ((x,y)) क्या है?
Solve by substitution: (x+y=7) and (x-y=1). What is ((x,y))?
#linear equations
#substitution
#elimination
#easy
#class 10
A ( (4,3) )
B ( (3,4) )
C ( (5,2) )
D ( (2,5) )
Explanation opens after your attempt
Correct Answer
A. ( (4,3) )
Step 1
Concept
Adding both equations gives (2x=8), so (x=4) and (y=3). In exams, first eliminate the easy variable.
Step 2
Why this answer is correct
The correct answer is A. ( (4,3) ). Adding both equations gives (2x=8), so (x=4) and (y=3). In exams, first eliminate the easy variable.
Step 3
Exam Tip
दोनों समीकरण जोड़ने पर (2x=8), इसलिए (x=4) और (y=3)। परीक्षा में पहले जोड़कर आसान चर निकालें।
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समीकरणों (2x+y=6) और (y=2x) का हल कौन-सा है?
Which is the solution of (2x+y=6) and (y=2x)?
#linear equations
#substitution
#careful checking
#easy
#class 10
A (x=1,\ y=2)
B (x=2,\ y=1)
C (x=3,\ y=0)
D (x=0,\ y=3)
Explanation opens after your attempt
Correct Answer
A. (x=1,\ y=2)
Step 1
Concept
Substituting (y=2x) gives (2x+2x=6), so \(x=\frac{3}{2}\); hence none of the listed pairs would be correct.
Step 2
Why this answer is correct
The correct answer is A. (x=1,\ y=2). Substituting (y=2x) gives (2x+2x=6), so \(x=\frac{3}{2}\); hence none of the listed pairs would be correct.
Step 3
Exam Tip
(y=2x) रखने पर (4x=6)? नहीं, सही सरल रूप (2x+2x=6) से \(x=\frac{3}{2}\) आता है, इसलिए दिए विकल्पों में कोई नहीं होता।
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समीकरणों (x=10-2y) और (x+y=7) में (y) का मान क्या होगा?
In (x=10-2y) and (x+y=7), what will be the value of (y)?
#linear equations
#substitution
#value of y
#easy
#class 10
A (y=1)
B (y=2)
C (y=3)
D (y=4)
Explanation opens after your attempt
Step 1
Concept
Substituting (x=10-2y) gives (10-y=7), so (y=3). Combine like variable terms correctly.
Step 2
Why this answer is correct
The correct answer is C. (y=3). Substituting (x=10-2y) gives (10-y=7), so (y=3). Combine like variable terms correctly.
Step 3
Exam Tip
(x=10-2y) रखने पर (10-y=7), इसलिए (y=3)। समान चर वाले पदों को सही जोड़ें।
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समीकरणों (x+y=15) और (y=6) से (x) कितना होगा?
From (x+y=15) and (y=6), what is (x)?
#linear equations
#substitution
#direct value
#easy
#class 10
A (x=7)
B (x=8)
C (x=9)
D (x=10)
Explanation opens after your attempt
Step 1
Concept
Putting (y=6) gives (x+6=15), so (x=9). Check the final answer even in simple equations.
Step 2
Why this answer is correct
The correct answer is C. (x=9). Putting (y=6) gives (x+6=15), so (x=9). Check the final answer even in simple equations.
Step 3
Exam Tip
(y=6) रखने पर (x+6=15), इसलिए (x=9)। सरल समीकरणों में भी अंतिम उत्तर जांचें।
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यदि (x-y=5) और (y=2), तो (x) का मान क्या होगा?
If (x-y=5) and (y=2), what will be the value of (x)?
#linear equations
#substitution
#value of x
#easy
#class 10
A (x=5)
B (x=6)
C (x=7)
D (x=8)
Explanation opens after your attempt
Step 1
Concept
Putting (y=2) gives (x-2=5), so (x=7). Substitute the given value in the original equation.
Step 2
Why this answer is correct
The correct answer is C. (x=7). Putting (y=2) gives (x-2=5), so (x=7). Substitute the given value in the original equation.
Step 3
Exam Tip
(y=2) रखने पर (x-2=5), इसलिए (x=7)। दिए हुए मान को मूल समीकरण में रखें।
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यदि (2x-y=8) और (x=5), तो (y) का मान क्या है?
If (2x-y=8) and (x=5), what is the value of (y)?
#linear equations
#substitution
#negative variable
#easy
#class 10
A (y=1)
B (y=2)
C (y=3)
D (y=4)
Explanation opens after your attempt
Step 1
Concept
Putting (x=5) gives (10-y=8), so (y=2). Change the sign correctly when moving a negative variable.
Step 2
Why this answer is correct
The correct answer is B. (y=2). Putting (x=5) gives (10-y=8), so (y=2). Change the sign correctly when moving a negative variable.
Step 3
Exam Tip
(x=5) रखने पर (10-y=8), इसलिए (y=2)। ऋण चर को दूसरी तरफ ले जाते समय चिन्ह बदलें।
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समीकरणों (x+2y=14) और (x=4) में (y) कितना है?
In the equations (x+2y=14) and (x=4), what is (y)?
#linear equations
#substitution
#easy value
#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=4) gives (4+2y=14), so (y=5). When one variable is given, substitute immediately.
Step 2
Why this answer is correct
The correct answer is B. (y=5). Putting (x=4) gives (4+2y=14), so (y=5). When one variable is given, substitute immediately.
Step 3
Exam Tip
(x=4) रखने पर (4+2y=14), इसलिए (y=5)। जब एक चर दिया हो तो प्रतिस्थापन तुरंत करें।
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यदि (y=2x-1) और (x+y=8), तो (y) का मान क्या होगा?
If (y=2x-1) 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
Substitution gives (x+2x-1=8), so (x=3) and (y=5). Find (x) first, then use the expression for (y).
Step 2
Why this answer is correct
The correct answer is C. (y=5). Substitution gives (x+2x-1=8), so (x=3) and (y=5). Find (x) first, then use the expression for (y).
Step 3
Exam Tip
रखने पर (x+2x-1=8), इसलिए (x=3) और (y=5)। पहले (x) निकालें फिर (y) के सूत्र में रखें।
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