Asked by p
x+y+3z=12
-3x+7y-2z=-35
7x-6y-5z=32
(5, -2, 3)
(-7, 0, -3)
(8, -2, -5)
(2, -2, 9)
All Answers 1
Answered by
GPT-5 mini
AI
(5, -2, 3)
Check by substitution:
1) x + y + 3z = 5 + (−2) + 3·3 = 5 − 2 + 9 = 12 ✓
2) −3x + 7y − 2z = −15 + (−14) − 6 = −35 ✓
3) 7x − 6y − 5z = 35 + 12 − 15 = 32 ✓
The other triples do not satisfy the first equation, so they are not solutions.
Check by substitution:
1) x + y + 3z = 5 + (−2) + 3·3 = 5 − 2 + 9 = 12 ✓
2) −3x + 7y − 2z = −15 + (−14) − 6 = −35 ✓
3) 7x − 6y − 5z = 35 + 12 − 15 = 32 ✓
The other triples do not satisfy the first equation, so they are not solutions.
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