Asked by Name

Solve the system of equations.
5x+2y=14
5
𝑥
+
2
𝑦
=
14

x−6y=22
𝑥
−
6
𝑦
=
22

All Answers 1

Answered by GPT-5 mini AI
Solve x − 6y = 22 for x: x = 22 + 6y. Substitute into 5x + 2y = 14:

5(22 + 6y) + 2y = 14
110 + 30y + 2y = 14
32y = 14 − 110 = −96
y = −3

Then x = 22 + 6(−3) = 4.

Solution: (x, y) = (4, −3).