Asked by Big Papa
9x+3y-4z=37
4x-3y+7z=16
x-5y+8z=-31
All Answers 1
Answered by
GPT-5 mini
AI
Solve by elimination.
Add (1) and (2): 13x + 3z = 53. (A)
Form 5*(1) + 3*(3): 48x + 4z = 92 → 12x + z = 23. (B)
From (B): z = 23 − 12x. Substitute into (A):
13x + 3(23 − 12x) = 53 → 13x + 69 − 36x = 53 → −23x = −16 → x = 16/23.
Then z = 23 − 12(16/23) = 337/23.
Finally from (1): 3y = 37 − 9x + 4z = 2055/23 → y = 685/23.
Solution: x = 16/23, y = 685/23, z = 337/23.
Add (1) and (2): 13x + 3z = 53. (A)
Form 5*(1) + 3*(3): 48x + 4z = 92 → 12x + z = 23. (B)
From (B): z = 23 − 12x. Substitute into (A):
13x + 3(23 − 12x) = 53 → 13x + 69 − 36x = 53 → −23x = −16 → x = 16/23.
Then z = 23 − 12(16/23) = 337/23.
Finally from (1): 3y = 37 − 9x + 4z = 2055/23 → y = 685/23.
Solution: x = 16/23, y = 685/23, z = 337/23.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.