Question

What is the value of x, given the following system of linear equations? x + y = 8 and x - y = 2

A. 5
B. 6
C. 7
D. 8

Answer 1

6

Step-by-step explanation

Answer 2

`x = 5`

Explanation:

`x + y = 8 \\ x - y = 2 \\ x + y + (x - y) = 8 + 2 \\ x + y + x - y = 10 \\ 2x = 10 \\ (2x)/(2) = (10)/(2) \\ x = 5 \\ \\ x + y = 8 \\ 5 + y = 8 \\ y = 8- 5 \\ y = 3 \\ \\ x - y = 2 \\ 5 - 3 = 2 \\ 2 = 2`