Question

Find the value of x and y if (x + y, x – y) = (11, 3).

Answer 1

Given: x + y = 11, x – y = 3

Step-wise calculation:

1. Add the two equations:

(x + y) + (x – y) = 11 + 3

⇒ 2x = 14

⇒ x = 7

2. Substitute x = 7 into x + y = 11

⇒ 7 + y = 11

⇒ y = 4

⇒ x = 7, y = 4.