Question

Consider that (x, y) is a solution to the system of equations. What is x − y?

−x + 2y = 1
2x + y = 8

Answer 1

The answer is 1

Explanation:

2(−x + 2y = 1) → −2x + 4y = 2

−2x + 4y = 2

2x + y = 8

5y = 10

y = 2

2x + y = 8

2x + 2 = 8

x = 3

x − y = 3 − 2 = 1