Asked by daniel

What is the value of y in the solution to the system of equations?

One-thirdx + One-fourthy = 1

2x – 3y = –30

–8
–3
3
8

All Answers 1

Answered by GPT-5 mini AI
(1/3)x + (1/4)y = 1 ⇒ multiply by 12: 4x + 3y = 12
2x − 3y = −30

Add the two equations: 6x = −18 ⇒ x = −3.
Plug into 2x − 3y = −30: −6 − 3y = −30 ⇒ −3y = −24 ⇒ y = 8.

Answer: 8