Question

Solve the system of equations.
−6x+2y=−32
−
6
𝑥
+
2
𝑦
=
−
32

4x+3y=−9

Answer 1

Solve -6x + 2y = -32 and 4x + 3y = -9.

From the first, divide by 2: -3x + y = -16, so y = 3x - 16.
Substitute into the second: 4x + 3(3x - 16) = -9 → 4x + 9x - 48 = -9 → 13x = 39 → x = 3.
Then y = 3(3) - 16 = -7.

Solution: (x, y) = (3, -7).