Question

Solve using elimination.

–9x − y = –8
–9x − 2y = 2

Answer 1

We have
-9x - y = -8 ...(1)
-9x - 2y = 2 ...(2)

Subtract (1) from (2): (-9x - 2y) - (-9x - y) = 2 - (-8)
This gives -y = 10, so y = -10.

Substitute y into (1): -9x - (-10) = -8 → -9x + 10 = -8 → -9x = -18 → x = 2.

Solution: (x, y) = (2, -10).