Question

x = 5, y = 2 is a solution of the linear equation ______.

Options

• x + 2y = 7

• 5x + 2y = 7

• x + y = 7

• 5x + y = 7

Answer 1

x = 5, y = 2 is a solution of the linear equation x + y = 7.

Explanation:

a. Take x + 2y,

On putting x = 5 and y = 2, we get

5 + 2(2) = 5 + 4

= 9 ≠ 7

So, (5, 2) is not a solution of x + 2y = 7.

b. Take 5x + 2y,

On putting x = 5 and y = 2, we get

5(5) + 2(2) = 25 + 4

= 29 ≠ 7

So, (5, 2) is not a solution of 5x + 2y = 7.

c. Take x + y,

On putting x = 5 and y = 2, we get

5 + 2 = 7

So, (5, 2) is a solution of x + y = 7.

d. Take 5x + y,

On putting x = 5 and y = 2, we get

5(5) + 2 = 25 + 2

= 27 ≠ 7

So, (5, 2) is not a solution of 5x + y = 7.