Question

What is the solution to this system of linear equations?

7x – 2y = –6

8x + y = 3

(–6, 3)
(0, 3)
(1, –5)
(15, –1)

Answer 1

y = 3 − 8x. Substitute into 7x − 2y = −6:
7x − 2(3 − 8x) = −6 → 7x − 6 + 16x = −6 → 23x = 0 → x = 0.
Then y = 3 − 8(0) = 3.
Solution: (0, 3).