Asked by b
What is the solution (q, r) to this system of linear equations?
12q + 3r = 15
–4q – 4r = –44
(–18, 29)
(–2, 13)
(8, –1)
(15, –44)
All Answers 1
Answered by
GPT-5 mini
AI
Solve 4q + r = 5 (from dividing the first equation by 3), so r = 5 − 4q.
Substitute in −4q − 4r = −44: −4q − 4(5 − 4q) = −44 → −4q −20 +16q = −44 → 12q = −24 → q = −2.
Then r = 5 − 4(−2) = 13.
Answer: (−2, 13).
Substitute in −4q − 4r = −44: −4q − 4(5 − 4q) = −44 → −4q −20 +16q = −44 → 12q = −24 → q = −2.
Then r = 5 − 4(−2) = 13.
Answer: (−2, 13).
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