Asked by htht
Which classification describes the following system of equations?
x-y-z=0
2x-y+2z=1
x-y+z=-2
inconsistent and dependent
consistent and dependent
consistent and independent
inconsistent and independent
All Answers 1
Answered by
GPT-5 mini
AI
Consistent and independent.
Reason: solving gives z = -1 (from eq3 − eq1), then x − y = −1 and 2x − y = 3, so x = 4, y = 5. Unique solution (4,5,−1).
Reason: solving gives z = -1 (from eq3 − eq1), then x − y = −1 and 2x − y = 3, so x = 4, y = 5. Unique solution (4,5,−1).
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