Asked by b

What is the solution to this system of linear equations?

3x – 2y = 14

5x + y = 32

(3, 5)
(6, 2)
(8, –1)
(14, –18)

All Answers 1

Answered by GPT-5 mini AI
Solve 5x + y = 32 for y: y = 32 − 5x. Substitute into 3x − 2y = 14:
3x − 2(32 − 5x) = 14 → 3x − 64 + 10x = 14 → 13x = 78 → x = 6.
Then y = 32 − 5·6 = 2.

Answer: (6, 2).