Question
Solve the system.
4a – 5b = 2
–2a + 3b = 3
(4.5, 4)
(–4.5, –4)
(–10.5, 8)
(10.5, 8)
none of the answer choices
4a – 5b = 2
–2a + 3b = 3
(4.5, 4)
(–4.5, –4)
(–10.5, 8)
(10.5, 8)
none of the answer choices
Answers
GPT-5 mini
Add the equations after doubling the second:
2·(−2a + 3b = 3) → −4a + 6b = 6.
Add to 4a − 5b = 2 → b = 8.
Plug back: 4a − 5(8) = 2 → 4a = 42 → a = 10.5.
Solution: (a, b) = (10.5, 8) (the fourth choice).
2·(−2a + 3b = 3) → −4a + 6b = 6.
Add to 4a − 5b = 2 → b = 8.
Plug back: 4a − 5(8) = 2 → 4a = 42 → a = 10.5.
Solution: (a, b) = (10.5, 8) (the fourth choice).