यदि (x+4y=26) और (3x-2y=8), तो सही हल कौन-सा है?
If (x+4y=26) and (3x-2y=8), which is the correct solution?
#linear-equations
#substitution
#solution-pair
#medium
#class-10
A (x=6,\ y=5)
B (x=5,\ y=6)
C (x=8,\ y=4)
D (x=4,\ y=7)
Explanation opens after your attempt
Correct Answer
A. (x=6,\ y=5)
Step 1
Concept
Use (x=26-4y) from the first equation. Substitution gives (14y=70), so (y=5,\ x=6).
Step 2
Why this answer is correct
The correct answer is A. (x=6,\ y=5). Use (x=26-4y) from the first equation. Substitution gives (14y=70), so (y=5,\ x=6).
Step 3
Exam Tip
पहले समीकरण से (x=26-4y) रखें। दूसरे में रखने पर (14y=70), इसलिए (y=5,\ x=6)।
Login to save your score, XP, coins and progress. Login
यदि (x=2y+1) और (5x-3y=33), तो सही हल कौन-सा है?
If (x=2y+1) and (5x-3y=33), which is the correct solution?
#linear-equations
#substitution
#solution-pair
#medium
#class-10
A (x=7,\ y=3)
B (x=9,\ y=4)
C (x=11,\ y=5)
D (x=13,\ y=6)
Explanation opens after your attempt
Correct Answer
B. (x=9,\ y=4)
Step 1
Concept
Substituting (x=2y+1) gives (10y+5-3y=33). This gives (y=4) and (x=9).
Step 2
Why this answer is correct
The correct answer is B. (x=9,\ y=4). Substituting (x=2y+1) gives (10y+5-3y=33). This gives (y=4) and (x=9).
Step 3
Exam Tip
(x=2y+1) रखने पर (10y+5-3y=33) मिलता है। इससे (y=4) और (x=9)।
Login to save your score, XP, coins and progress. Login
समीकरणों (4x+5y=39) और (2x-y=9) का हल कौन-सा है?
Which is the solution of (4x+5y=39) and (2x-y=9)?
#linear-equations
#substitution
#solution-pair
#medium
#class-10
A (x=6,\ y=3)
B (x=5,\ y=4)
C (x=7,\ y=2)
D (x=4,\ y=5)
Explanation opens after your attempt
Correct Answer
A. (x=6,\ y=3)
Step 1
Concept
Use (y=2x-9) from the second equation. Substitution gives (14x=84), so (x=6,\ y=3).
Step 2
Why this answer is correct
The correct answer is A. (x=6,\ y=3). Use (y=2x-9) from the second equation. Substitution gives (14x=84), so (x=6,\ y=3).
Step 3
Exam Tip
दूसरे समीकरण से (y=2x-9) रखें। पहले में रखने पर (14x=84), इसलिए (x=6,\ y=3)।
Login to save your score, XP, coins and progress. Login
समीकरणों (4x+3y=26) और (2x-y=8) का हल क्या है?
What is the solution of (4x+3y=26) and (2x-y=8)?
#linear-equations
#substitution
#solution-pair
#medium
#class-10
A (x=5,\ y=2)
B (x=4,\ y=3)
C (x=6,\ y=1)
D (x=3,\ y=4)
Explanation opens after your attempt
Correct Answer
A. (x=5,\ y=2)
Step 1
Concept
Use (y=2x-8) from the second equation. Substitution gives (10x=50), so (x=5,\ y=2).
Step 2
Why this answer is correct
The correct answer is A. (x=5,\ y=2). Use (y=2x-8) from the second equation. Substitution gives (10x=50), so (x=5,\ y=2).
Step 3
Exam Tip
दूसरे समीकरण से (y=2x-8) रखें। पहले में रखने पर (10x=50), इसलिए (x=5,\ y=2)।
Login to save your score, XP, coins and progress. Login
यदि (6x-y=21) और (2x+3y=17), तो सही हल कौन-सा है?
If (6x-y=21) and (2x+3y=17), which is the correct solution?
#linear-equations
#substitution
#solution-pair
#medium
#class-10
A (x=3,\ y=4)
B (x=5,\ y=1)
C (x=4,\ y=3)
D (x=2,\ y=5)
Explanation opens after your attempt
Correct Answer
C. (x=4,\ y=3)
Step 1
Concept
From the first equation use (y=6x-21). Substituting in the second gives (20x=80), so (x=4,\ y=3).
Step 2
Why this answer is correct
The correct answer is C. (x=4,\ y=3). From the first equation use (y=6x-21). Substituting in the second gives (20x=80), so (x=4,\ y=3).
Step 3
Exam Tip
पहले समीकरण से (y=6x-21) रखें। दूसरे में रखने पर (20x=80), इसलिए (x=4,\ y=3)।
Login to save your score, XP, coins and progress. Login
समीकरणों (2x+3y=19) और (4x-y=3) का हल क्या है?
What is the solution of (2x+3y=19) and (4x-y=3)?
#linear-equations
#substitution
#solution-pair
#medium
#class-10
A (x=3,\ y=4)
B (x=2,\ y=5)
C (x=5,\ y=2)
D (x=1,\ y=6)
Explanation opens after your attempt
Correct Answer
B. (x=2,\ y=5)
Step 1
Concept
Use (y=4x-3) from the second equation. Substitution gives (14x=28), so (x=2,\ y=5).
Step 2
Why this answer is correct
The correct answer is B. (x=2,\ y=5). Use (y=4x-3) from the second equation. Substitution gives (14x=28), so (x=2,\ y=5).
Step 3
Exam Tip
दूसरे समीकरण से (y=4x-3) रखें। पहले में रखने पर (14x=28), इसलिए (x=2,\ y=5)।
Login to save your score, XP, coins and progress. Login
समीकरणों (x+2y=13) और (3x-2y=7) का हल क्या है?
What is the solution of (x+2y=13) and (3x-2y=7)?
#linear equations
#elimination
#solution pair
#medium
#class 10
A \(x=4,\ y=\frac{9}{2}\)
B (x=5,\ y=4)
C \(x=6,\ y=\frac{7}{2}\)
D (x=7,\ y=3)
Explanation opens after your attempt
Correct Answer
B. (x=5,\ y=4)
Step 1
Concept
Adding both equations gives (4x=20), so (x=5). The first equation gives (y=4).
Step 2
Why this answer is correct
The correct answer is B. (x=5,\ y=4). Adding both equations gives (4x=20), so (x=5). The first equation gives (y=4).
Step 3
Exam Tip
दोनों समीकरण जोड़ने पर (4x=20), इसलिए (x=5)। पहले समीकरण से (y=4) मिलता है।
Login to save your score, XP, coins and progress. Login
यदि (y=3x-7) और (2x+y=18), तो (x) और (y) के मान क्या हैं?
If (y=3x-7) and (2x+y=18), what are the values of (x) and (y)?
#linear equations
#substitution
#solution pair
#medium
#class 10
A (x=4,\ y=5)
B (x=5,\ y=8)
C (x=6,\ y=11)
D (x=7,\ y=14)
Explanation opens after your attempt
Correct Answer
B. (x=5,\ y=8)
Step 1
Concept
Substituting (y=3x-7) gives (5x-7=18). Therefore (x=5) and (y=8).
Step 2
Why this answer is correct
The correct answer is B. (x=5,\ y=8). Substituting (y=3x-7) gives (5x-7=18). Therefore (x=5) and (y=8).
Step 3
Exam Tip
(y=3x-7) रखने पर (5x-7=18) मिलता है। इसलिए (x=5) और (y=8)।
Login to save your score, XP, coins and progress. Login
समीकरणों (2x+3y=25) और (5x-3y=10) का हल क्या है?
What is the solution of (2x+3y=25) and (5x-3y=10)?
#linear equations
#elimination
#solution pair
#medium
#class 10
A (x=5,\ y=5)
B \(x=4,\ y=\frac{17}{3}\)
C \(x=6,\ y=\frac{13}{3}\)
D \(x=3,\ y=\frac{19}{3}\)
Explanation opens after your attempt
Correct Answer
A. (x=5,\ y=5)
Step 1
Concept
Adding both equations gives (7x=35), so (x=5). The first equation then gives (y=5).
Step 2
Why this answer is correct
The correct answer is A. (x=5,\ y=5). Adding both equations gives (7x=35), so (x=5). The first equation then gives (y=5).
Step 3
Exam Tip
दोनों समीकरण जोड़ने पर (7x=35), इसलिए (x=5)। पहले समीकरण से (y=5) मिलता है।
Login to save your score, XP, coins and progress. Login
यदि (4x+5y=31) और (2x+y=11), तो (x) और (y) का हल क्या है?
If (4x+5y=31) and (2x+y=11), what is the solution for (x) and (y)?
#linear equations
#substitution
#solution pair
#medium
#class 10
A (x=4,\ y=3)
B (x=5,\ y=1)
C (x=3,\ y=5)
D (x=2,\ y=7)
Explanation opens after your attempt
Correct Answer
B. (x=5,\ y=1)
Step 1
Concept
From the second equation use (y=11-2x). Substitution gives (-6x+55=31), so (x=4) and (y=3).
Step 2
Why this answer is correct
The correct answer is B. (x=5,\ y=1). From the second equation use (y=11-2x). Substitution gives (-6x+55=31), so (x=4) and (y=3).
Step 3
Exam Tip
दूसरे समीकरण से (y=11-2x) रखें। पहले में रखने पर (-6x+55=31), इसलिए (x=4) और (y=3)।
Login to save your score, XP, coins and progress. Login
यदि (3x+5y=44) और (x+y=10), तो (x) और (y) के मान क्या हैं?
If (3x+5y=44) and (x+y=10), what are the values of (x) and (y)?
#linear equations
#substitution
#solution pair
#medium
#class 10
A (x=4,\ y=6)
B (x=2,\ y=8)
C (x=3,\ y=7)
D (x=5,\ y=5)
Explanation opens after your attempt
Correct Answer
C. (x=3,\ y=7)
Step 1
Concept
Using (x=10-y) gives (30-3y+5y=44). Thus (y=7) and (x=3).
Step 2
Why this answer is correct
The correct answer is C. (x=3,\ y=7). Using (x=10-y) gives (30-3y+5y=44). Thus (y=7) and (x=3).
Step 3
Exam Tip
(x=10-y) रखने पर (30-3y+5y=44) मिलता है। इससे (y=7) और (x=3) मिलते हैं।
Login to save your score, XP, coins and progress. Login
समीकरणों (7x-3y=20) और (2x+y=9) का हल कौन-सा है?
Which is the solution of (7x-3y=20) and (2x+y=9)?
#linear equations
#substitution
#solution pair
#medium
#class 10
A (x=4,\ y=1)
B (x=3,\ y=3)
C (x=5,\ y=-1)
D (x=2,\ y=5)
Explanation opens after your attempt
Correct Answer
B. (x=3,\ y=3)
Step 1
Concept
From the second equation use (y=9-2x). Substituting in the first gives (13x=39), so (x=3,\ y=3).
Step 2
Why this answer is correct
The correct answer is B. (x=3,\ y=3). From the second equation use (y=9-2x). Substituting in the first gives (13x=39), so (x=3,\ y=3).
Step 3
Exam Tip
दूसरे समीकरण से (y=9-2x) रखें। पहले समीकरण में रखने पर (13x=39), इसलिए (x=3,\ y=3)।
Login to save your score, XP, coins and progress. Login
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
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।
Login to save your score, XP, coins and progress. Login
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
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।
Login to save your score, XP, coins and progress. Login
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
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।
Login to save your score, XP, coins and progress. Login
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
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।
Login to save your score, XP, coins and progress. Login
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
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।
Login to save your score, XP, coins and progress. Login
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
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।
Login to save your score, XP, coins and progress. Login
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
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।
Login to save your score, XP, coins and progress. Login
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
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
विलोपन विधि से (x+5y=22) और (x+2y=10) का हल क्या है?
What is the solution of (x+5y=22) and (x+2y=10) by elimination?
#linear equations
#elimination
#solution pair
#easy
#class 10
A ( (2,4) )
B ( (4,3) )
C ( (6,2) )
D ( (1,5) )
Explanation opens after your attempt
Correct Answer
A. ( (2,4) )
Step 1
Concept
Subtracting gives (3y=12), so (y=4) and (x=2). Remove equal (x) terms to find (y) first.
Step 2
Why this answer is correct
The correct answer is A. ( (2,4) ). Subtracting gives (3y=12), so (y=4) and (x=2). Remove equal (x) terms to find (y) first.
Step 3
Exam Tip
घटाने पर (3y=12), इसलिए (y=4) और (x=2)। समान (x) पदों को हटाकर पहले (y) निकालें।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
समीकरणों (2x+y=12) और (x+2y=12) का हल क्या है?
What is the solution of (2x+y=12) and (x+2y=12)?
#linear equations
#elimination
#solution pair
#easy
#class 10
A (x=3,\ y=6)
B (x=4,\ y=4)
C (x=6,\ y=3)
D (x=5,\ y=5)
Explanation opens after your attempt
Correct Answer
B. (x=4,\ y=4)
Step 1
Concept
Subtracting the equations gives (x-y=0), so (x=y); substituting gives (3x=12). When equality is found, put it into the original equation.
Step 2
Why this answer is correct
The correct answer is B. (x=4,\ y=4). Subtracting the equations gives (x-y=0), so (x=y); substituting gives (3x=12). When equality is found, put it into the original equation.
Step 3
Exam Tip
दोनों समीकरण घटाने पर (x-y=0), इसलिए (x=y); रखने पर (3x=12)। समानता मिलने पर उसे तुरंत मूल समीकरण में रखें।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
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।
Login to save your score, XP, coins and progress. Login
