Question

Solve the system of equations.
2x+8y=8
2
𝑥
+
8
𝑦
=
8

2x−4y=−16

Answer 1

Solve by elimination: subtract the second equation from the first:
(2x+8y) − (2x−4y) = 8 − (−16) ⇒ 12y = 24 ⇒ y = 2.

Substitute y = 2 into 2x − 4y = −16:
2x − 4(2) = −16 ⇒ 2x − 8 = −16 ⇒ 2x = −8 ⇒ x = −4.

Solution: (x,y) = (−4, 2).