Question

Solve the system of equations.
4x−8y=−36
4
𝑥
−
8
𝑦
=
−
36

−6x+y=32
−
6
𝑥
+
𝑦
=
32

Answer 1

Solve:
From 4x − 8y = −36 divide by 4: x − 2y = −9, so x = 2y − 9.
Substitute into −6x + y = 32:
−6(2y − 9) + y = 32 → −12y + 54 + y = 32 → −11y = −22 → y = 2.
Then x = 2(2) − 9 = −5.

Solution: (x, y) = (−5, 2).