Concept-wise Practice

substitution MCQ Questions for Class 10

substitution se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

419 questions tagged with substitution.

किस मान पर (x=2,\ y=3) समीकरण (kx+4y=22) को संतुष्ट करेगा?

For what value will (x=2,\ y=3) satisfy the equation (kx+4y=22)?

Explanation opens after your attempt
Correct Answer

C. (k=5)

Step 1

Concept

Substituting (x=2,\ y=3) gives (2k+12=22). Therefore (k=5).

Step 2

Why this answer is correct

The correct answer is C. (k=5). Substituting (x=2,\ y=3) gives (2k+12=22). Therefore (k=5).

Step 3

Exam Tip

(x=2,\ y=3) रखने पर (2k+12=22) मिलता है। इसलिए (k=5)।

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यदि (x+3y=19) और (2x-y=3), तो (x+2y) का मान क्या है?

If (x+3y=19) and (2x-y=3), what is the value of (x+2y)?

Explanation opens after your attempt
Correct Answer

D. (14)

Step 1

Concept

Use (y=2x-3) from the second equation. Substitution gives (7x=28), so (x=4,\ y=5) and (x+2y=14).

Step 2

Why this answer is correct

The correct answer is D. (14). Use (y=2x-3) from the second equation. Substitution gives (7x=28), so (x=4,\ y=5) and (x+2y=14).

Step 3

Exam Tip

दूसरे समीकरण से (y=2x-3) रखें। पहले में रखने पर (7x=28), इसलिए (x=4,\ y=5) और (x+2y=14)।

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यदि (2x+3y=27) और (4x-y=11), तो (x) का मान क्या होगा?

If (2x+3y=27) and (4x-y=11), what will be the value of (x)?

Explanation opens after your attempt
Correct Answer

B. (x=4)

Step 1

Concept

Use (y=4x-11) from the second equation. Substitution gives (14x-33=27), so \(x=\frac{30}{7}\).

Step 2

Why this answer is correct

The correct answer is B. (x=4). Use (y=4x-11) from the second equation. Substitution gives (14x-33=27), so \(x=\frac{30}{7}\).

Step 3

Exam Tip

दूसरे समीकरण से (y=4x-11) रखें। पहले में रखने पर (14x-33=27), इसलिए \(x=\frac{30}{7}\) आता है।

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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)?

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)।

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यदि (4x+y=22) और (3x-2y=1), तो (y) का मान क्या होगा?

If (4x+y=22) and (3x-2y=1), what will be the value of (y)?

Explanation opens after your attempt
Correct Answer

C. (y=6)

Step 1

Concept

Use (y=22-4x) from the first equation. Substituting in the second gives (11x=45), then \(y=\frac{62}{11}\).

Step 2

Why this answer is correct

The correct answer is C. (y=6). Use (y=22-4x) from the first equation. Substituting in the second gives (11x=45), then \(y=\frac{62}{11}\).

Step 3

Exam Tip

पहले समीकरण से (y=22-4x) रखें। दूसरे में रखने पर (11x=45), फिर \(y=\frac{62}{11}\) मिलता है।

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यदि (3x+2y=20) और (x-y=1), तो (3x-y) का मान क्या है?

If (3x+2y=20) and (x-y=1), what is the value of (3x-y)?

Explanation opens after your attempt
Correct Answer

D. (11)

Step 1

Concept

Using (x=y+1) gives (3y+3+2y=20), so \(y=\frac{17}{5}\) and \(x=\frac{22}{5}\). Then \(3x-y=\frac{49}{5}\).

Step 2

Why this answer is correct

The correct answer is D. (11). Using (x=y+1) gives (3y+3+2y=20), so \(y=\frac{17}{5}\) and \(x=\frac{22}{5}\). Then \(3x-y=\frac{49}{5}\).

Step 3

Exam Tip

(x=y+1) रखने पर (3y+3+2y=20), इसलिए \(y=\frac{17}{5}\) और \(x=\frac{22}{5}\)। तब \(3x-y=\frac{49}{5}\) है।

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यदि (2x+ky=18) और (x+y=7) का हल (x=4,\ y=3) है, तो (k) का मान क्या है?

If (2x+ky=18) and (x+y=7) have solution (x=4,\ y=3), what is the value of (k)?

Explanation opens after your attempt
Correct Answer

C. \(\frac{10}{3}\)

Step 1

Concept

Put (x=4,\ y=3) in (2x+ky=18). Then (8+3k=18), so \(k=\frac{10}{3}\).

Step 2

Why this answer is correct

The correct answer is C. \(\frac{10}{3}\). Put (x=4,\ y=3) in (2x+ky=18). Then (8+3k=18), so \(k=\frac{10}{3}\).

Step 3

Exam Tip

(x=4,\ y=3) को (2x+ky=18) में रखें। (8+3k=18), इसलिए \(k=\frac{10}{3}\)।

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समीकरणों (3x-4y=1) और (2x+y=13) का हल कौन-सा है?

Which is the solution of (3x-4y=1) and (2x+y=13)?

Explanation opens after your attempt
Correct Answer

A. (x=5,\ y=3)

Step 1

Concept

Use (y=13-2x) from the second equation. Option checking shows (x=5,\ y=3) satisfies both equations.

Step 2

Why this answer is correct

The correct answer is A. (x=5,\ y=3). Use (y=13-2x) from the second equation. Option checking shows (x=5,\ y=3) satisfies both equations.

Step 3

Exam Tip

दूसरे समीकरण से (y=13-2x) रखें। पहले में रखने पर (11x=53) नहीं, विकल्प जांच में (x=5,\ y=3) दोनों समीकरणों को संतुष्ट करता है।

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यदि (x+y=12) और (2x-3y=9), तो (y) का मान क्या होगा?

If (x+y=12) and (2x-3y=9), what will be the value of (y)?

Explanation opens after your attempt
Correct Answer

B. (y=3)

Step 1

Concept

Using (x=12-y) gives (24-2y-3y=9). Thus (5y=15), so (y=3).

Step 2

Why this answer is correct

The correct answer is B. (y=3). Using (x=12-y) gives (24-2y-3y=9). Thus (5y=15), so (y=3).

Step 3

Exam Tip

(x=12-y) रखने पर (24-2y-3y=9) मिलता है। इससे (5y=15), इसलिए (y=3)।

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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)?

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)।

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यदि (x=2y+3) और (3x-4y=17), तो (y) का मान क्या है?

If (x=2y+3) and (3x-4y=17), what is the value of (y)?

Explanation opens after your attempt
Correct Answer

C. (y=4)

Step 1

Concept

Substituting (x=2y+3) gives (6y+9-4y=17). Thus (2y=8), so (y=4).

Step 2

Why this answer is correct

The correct answer is C. (y=4). Substituting (x=2y+3) gives (6y+9-4y=17). Thus (2y=8), so (y=4).

Step 3

Exam Tip

(x=2y+3) रखने पर (6y+9-4y=17) मिलता है। इससे (2y=8), इसलिए (y=4)।

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समीकरणों (4x+3y=34) और (2x-y=4) के लिए (x) का मान क्या है?

For (4x+3y=34) and (2x-y=4), what is the value of (x)?

Explanation opens after your attempt
Correct Answer

C. (x=5)

Step 1

Concept

From the second equation use (y=2x-4). Correct substitution gives (4x+6x-12=34), so \(x=\frac{23}{5}\).

Step 2

Why this answer is correct

The correct answer is C. (x=5). From the second equation use (y=2x-4). Correct substitution gives (4x+6x-12=34), so \(x=\frac{23}{5}\).

Step 3

Exam Tip

दूसरे समीकरण से (y=2x-4) रखें। पहले में रखने पर (10x-12=34) नहीं, सही गणना (4x+6x-12=34) से \(x=\frac{23}{5}\) आती है।

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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)?

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।

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समीकरणों (2x-y=7) और (x+2y=14) का हल क्या है?

What is the solution of (2x-y=7) and (x+2y=14)?

Explanation opens after your attempt
Correct Answer

A. \(x=\frac{28}{5},\ y=\frac{21}{5}\)

Step 1

Concept

Use (y=2x-7) from the first equation. Substitution gives (5x=28), so \(x=\frac{28}{5}\) and \(y=\frac{21}{5}\).

Step 2

Why this answer is correct

The correct answer is A. \(x=\frac{28}{5},\ y=\frac{21}{5}\). Use (y=2x-7) from the first equation. Substitution gives (5x=28), so \(x=\frac{28}{5}\) and \(y=\frac{21}{5}\).

Step 3

Exam Tip

पहले समीकरण से (y=2x-7) रखें। दूसरे में रखने पर (5x=28), इसलिए \(x=\frac{28}{5}\) और \(y=\frac{21}{5}\)।

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यदि (2x-y=9) और (x+2y=13), तो (2x+y) का मान क्या है?

If (2x-y=9) and (x+2y=13), what is the value of (2x+y)?

Explanation opens after your attempt
Correct Answer

D. (16)

Step 1

Concept

Use (y=2x-9) from the first equation. Solving gives \(x=\frac{31}{5}\) and \(y=\frac{17}{5}\), so \(2x+y=\frac{79}{5}\).

Step 2

Why this answer is correct

The correct answer is D. (16). Use (y=2x-9) from the first equation. Solving gives \(x=\frac{31}{5}\) and \(y=\frac{17}{5}\), so \(2x+y=\frac{79}{5}\).

Step 3

Exam Tip

पहले समीकरण से (y=2x-9) रखें। हल करने पर \(x=\frac{31}{5}\) और \(y=\frac{17}{5}\), इसलिए \(2x+y=\frac{79}{5}\) है।

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समीकरणों (3x+4y=26) और (2x-y=3) में (x) का मान क्या है?

In the equations (3x+4y=26) and (2x-y=3), what is the value of (x)?

Explanation opens after your attempt
Correct Answer

C. (x=4)

Step 1

Concept

Use (y=2x-3) from the second equation. Substitution and option checking show (x=4) is correct.

Step 2

Why this answer is correct

The correct answer is C. (x=4). Use (y=2x-3) from the second equation. Substitution and option checking show (x=4) is correct.

Step 3

Exam Tip

दूसरे समीकरण से (y=2x-3) रखें। पहले में रखने पर (11x-12=26), इसलिए \(x=\frac{38}{11}\) नहीं है, विकल्प जांच में (x=4) सही है।

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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)?

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)।

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यदि (x+2y=11) और (3x-y=8), तो (x+y) का मान क्या है?

If (x+2y=11) and (3x-y=8), what is the value of (x+y)?

Explanation opens after your attempt
Correct Answer

D. (8)

Step 1

Concept

Use (x=11-2y) from the first equation. Solving gives (y=3) and (x=5), so (x+y=8).

Step 2

Why this answer is correct

The correct answer is D. (8). Use (x=11-2y) from the first equation. Solving gives (y=3) and (x=5), so (x+y=8).

Step 3

Exam Tip

पहले समीकरण से (x=11-2y) रखें। हल करने पर (y=3) और (x=5), इसलिए (x+y=8)।

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यदि (4x-y=17) और (2x+3y=19), तो (x) का मान क्या होगा?

If (4x-y=17) and (2x+3y=19), what will be the value of (x)?

Explanation opens after your attempt
Correct Answer

C. (x=5)

Step 1

Concept

From the first equation use (y=4x-17). Then (2x+3(4x-17)=19) gives (x=5).

Step 2

Why this answer is correct

The correct answer is C. (x=5). From the first equation use (y=4x-17). Then (2x+3(4x-17)=19) gives (x=5).

Step 3

Exam Tip

पहले समीकरण से (y=4x-17) रखें। फिर (2x+3(4x-17)=19) से (x=5) मिलता है।

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समीकरण (2x-y=8) और (3x+2y=47) को हल करें।

Solve (2x-y=8) and (3x+2y=47).

Explanation opens after your attempt
Correct Answer

D. ( (9,10) )

Step 1

Concept

From (2x-y=8), (y=2x-8), so (3x+2(2x-8)=47). This gives (x=9) and (y=10).

Step 2

Why this answer is correct

The correct answer is D. ( (9,10) ). From (2x-y=8), (y=2x-8), so (3x+2(2x-8)=47). This gives (x=9) and (y=10).

Step 3

Exam Tip

(2x-y=8) से (y=2x-8), इसलिए (3x+2(2x-8)=47)। इससे (x=9) और (y=10)।

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समीकरण (x+5y=37) और (3x-y=15) का हल चुनें।

Choose the solution of (x+5y=37) and (3x-y=15).

Explanation opens after your attempt
Correct Answer

B. ( (7,6) )

Step 1

Concept

From (3x-y=15), (y=3x-15), so (x+5(3x-15)=37). This gives (x=7) and (y=6).

Step 2

Why this answer is correct

The correct answer is B. ( (7,6) ). From (3x-y=15), (y=3x-15), so (x+5(3x-15)=37). This gives (x=7) and (y=6).

Step 3

Exam Tip

(3x-y=15) से (y=3x-15), इसलिए (x+5(3x-15)=37)। इससे (x=7) और (y=6)।

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यदि (2x+3y=33) और (4x-y=3), तो हल क्या होगा?

If (2x+3y=33) and (4x-y=3), what will be the solution?

Explanation opens after your attempt
Correct Answer

C. ( (3,9) )

Step 1

Concept

From (4x-y=3), (y=4x-3), so (2x+3(4x-3)=33). This gives (x=3) and (y=9).

Step 2

Why this answer is correct

The correct answer is C. ( (3,9) ). From (4x-y=3), (y=4x-3), so (2x+3(4x-3)=33). This gives (x=3) and (y=9).

Step 3

Exam Tip

(4x-y=3) से (y=4x-3), इसलिए (2x+3(4x-3)=33)। इससे (x=3) और (y=9)।

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समीकरण (4x-5y=2) और (x+y=5) का हल क्या है?

What is the solution of (4x-5y=2) and (x+y=5)?

Explanation opens after your attempt
Correct Answer

D. ( (3,2) )

Step 1

Concept

Putting (x=5-y) gives (4(5-y)-5y=2), so (y=2) and (x=3). Be careful while combining negative terms.

Step 2

Why this answer is correct

The correct answer is D. ( (3,2) ). Putting (x=5-y) gives (4(5-y)-5y=2), so (y=2) and (x=3). Be careful while combining negative terms.

Step 3

Exam Tip

(x=5-y) रखने पर (4(5-y)-5y=2), इसलिए (y=2) और (x=3)। ऋण वाले पदों को जोड़ते समय सावधानी रखें।

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समीकरण (y=15-2x) और (x-y=6) का हल चुनें।

Choose the solution of (y=15-2x) and (x-y=6).

Explanation opens after your attempt
Correct Answer

D. ( (7,1) )

Step 1

Concept

Putting (15-2x) in place of (y) gives (x-(15-2x)=6), so (x=7) and (y=1). Always use brackets with a minus sign.

Step 2

Why this answer is correct

The correct answer is D. ( (7,1) ). Putting (15-2x) in place of (y) gives (x-(15-2x)=6), so (x=7) and (y=1). Always use brackets with a minus sign.

Step 3

Exam Tip

(15-2x) को (y) की जगह रखने पर (x-(15-2x)=6), इसलिए (x=7) और (y=1)। ऋण के साथ कोष्ठक जरूर लगाएँ।

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यदि (x=2y-3) और (2x+y=24), तो ((x,y)) क्या है?

If (x=2y-3) and (2x+y=24), what is ((x,y))?

Explanation opens after your attempt
Correct Answer

C. ( (9,6) )

Step 1

Concept

Putting (x=2y-3) gives (2(2y-3)+y=24), so (y=6) and (x=9). Correct brackets prevent sign errors.

Step 2

Why this answer is correct

The correct answer is C. ( (9,6) ). Putting (x=2y-3) gives (2(2y-3)+y=24), so (y=6) and (x=9). Correct brackets prevent sign errors.

Step 3

Exam Tip

(x=2y-3) रखने पर (2(2y-3)+y=24), इसलिए (y=6) और (x=9)। कोष्ठक सही लगाने से चिह्न की गलती नहीं होती।

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समीकरण (6x+2y=64) और (3x-y=28) को हल करें।

Solve (6x+2y=64) and (3x-y=28).

Explanation opens after your attempt
Correct Answer

C. ( (10,2) )

Step 1

Concept

From the second equation, (y=3x-28), so (6x+2(3x-28)=64). This gives (x=10) and (y=2).

Step 2

Why this answer is correct

The correct answer is C. ( (10,2) ). From the second equation, (y=3x-28), so (6x+2(3x-28)=64). This gives (x=10) and (y=2).

Step 3

Exam Tip

दूसरे समीकरण से (y=3x-28), इसलिए (6x+2(3x-28)=64)। इससे (x=10) और (y=2)।

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समीकरण (3x-4y=17) और (x+y=8) का हल चुनें।

Choose the solution of (3x-4y=17) and (x+y=8).

Explanation opens after your attempt
Correct Answer

C. ( (7,1) )

Step 1

Concept

Putting (x=8-y) gives (3(8-y)-4y=17), so (y=1) and (x=7). Be careful while combining negative terms.

Step 2

Why this answer is correct

The correct answer is C. ( (7,1) ). Putting (x=8-y) gives (3(8-y)-4y=17), so (y=1) and (x=7). Be careful while combining negative terms.

Step 3

Exam Tip

(x=8-y) रखने पर (3(8-y)-4y=17), इसलिए (y=1) और (x=7)। ऋण पदों को जोड़ते समय ध्यान रखें।

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यदि (x-y=5) और (2x+3y=30), तो हल क्या है?

If (x-y=5) and (2x+3y=30), what is the solution?

Explanation opens after your attempt
Correct Answer

B. ( (9,4) )

Step 1

Concept

Putting (x=y+5) gives (2(y+5)+3y=30), so (y=4) and (x=9). Combine like terms after substitution.

Step 2

Why this answer is correct

The correct answer is B. ( (9,4) ). Putting (x=y+5) gives (2(y+5)+3y=30), so (y=4) and (x=9). Combine like terms after substitution.

Step 3

Exam Tip

(x=y+5) रखने पर (2(y+5)+3y=30), इसलिए (y=4) और (x=9)। प्रतिस्थापन के बाद समान पद जोड़ें।

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समीकरण (4x+3y=42) और (2x-y=6) को हल करें।

Solve (4x+3y=42) and (2x-y=6).

Explanation opens after your attempt
Correct Answer

A. ( (6,6) )

Step 1

Concept

From (2x-y=6), (y=2x-6), so (4x+3(2x-6)=42) and (x=6). Then (y=6).

Step 2

Why this answer is correct

The correct answer is A. ( (6,6) ). From (2x-y=6), (y=2x-6), so (4x+3(2x-6)=42) and (x=6). Then (y=6).

Step 3

Exam Tip

(2x-y=6) से (y=2x-6), इसलिए (4x+3(2x-6)=42) और (x=6)। फिर (y=6) मिलेगा।

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समीकरण (x+4y=13) और (2x-y=8) से (x) और (y) क्या मिलेंगे?

From (x+4y=13) and (2x-y=8), what are (x) and (y)?

Explanation opens after your attempt
Correct Answer

A. ( (5,2) )

Step 1

Concept

From (2x-y=8), (y=2x-8), so (x+4(2x-8)=13). This gives (x=5) and (y=2).

Step 2

Why this answer is correct

The correct answer is A. ( (5,2) ). From (2x-y=8), (y=2x-8), so (x+4(2x-8)=13). This gives (x=5) and (y=2).

Step 3

Exam Tip

(2x-y=8) से (y=2x-8), इसलिए (x+4(2x-8)=13)। इससे (x=5) और (y=2)।

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