Question

If x = a, y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b are, respectively ______.

Options

• 3 and 5

• 5 and 3

• 3 and 1

• –1 and –3

Answer 1

If x = a, y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b are, respectively 3 and 1.

Explanation:

Since x = a and y = b is the solution of the equations

x – y = 2 and x + y = 4

So a – b = 2  ...(i)

and a + b = 4  ...(ii)

On adding (i) and (ii), we get

2a = 6

⇒ a = 3

Substitute value of a in equation (i)

⇒ 3 – b = 2

⇒ b = 1