Question

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

Answer 1

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

Explanation:

Add the two equations to eliminate y:

(x – y) + (x + y) = 2 + 4 

⇒ 2x = 6

⇒ x = 3

Substitute x = 3 into x + y = 4

⇒ 3 + y = 4

⇒ y = 1