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Write four solutions for the following equation:- x = 4y - Mathematics

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Write four solutions for the following equation:- x = 4y

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Solution 1

x = 4y

For x = 0,

0 = 4y

⇒ y = 0

Therefore, (0, 0) is a solution of this equation.

For y = 1,

x = 4(1) = 4

Therefore, (4, 1) is a solution of this equation.

For y = −1,

x = 4(−1)

⇒ x = −4

Therefore, (−4, −1) is a solution of this equation.

For x = 2,

2 = 4y

⇒ y = 2/4 = 1/2

Therefore, (2, 1/2) is a solution of this equation.

 

Solution 2

x = 4y

For x = 0,

0 = 4y

⇒ y = 0

Therefore, (0, 0) is a solution of this equation.

For y = 1,

x = 4(1) = 4

Therefore, (4, 1) is a solution of this equation.

For y = −1,

x = 4(−1)

⇒ x = −4

Therefore, (−4, −1) is a solution of this equation.

For x = 2,

2 = 4y

⇒ y = 2/4 = 1/2

Therefore, (2, 1/2) is a solution of this equation.

 

Solution 3

x = 4y

For x = 0,

0 = 4y

⇒ y = 0

Therefore, (0, 0) is a solution of this equation.

For y = 1,

x = 4(1) = 4

Therefore, (4, 1) is a solution of this equation.

For y = −1,

x = 4(−1)

⇒ x = −4

Therefore, (−4, −1) is a solution of this equation.

For x = 2,

2 = 4y

⇒ y = 2/4 = 1/2

Therefore, (2, 1/2) is a solution of this equation.

 

Solution 4

x = 4y

For x = 0,

0 = 4y

⇒ y = 0

Therefore, (0, 0) is a solution of this equation.

For y = 1,

x = 4(1) = 4

Therefore, (4, 1) is a solution of this equation.

For y = −1,

x = 4(−1)

⇒ x = −4

Therefore, (−4, −1) is a solution of this equation.

For x = 2,

2 = 4y

⇒ y = 2/4 = 1/2

Therefore, (2, 1/2) is a solution of this equation.

 

Concept: Solution of a Linear Equation
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APPEARS IN

NCERT Class 9 Maths
Chapter 4 Linear Equations in two Variables
Exercise 4.2 | Q 2.3 | Page 70

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