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The system of linear equations x4y+7z=g, 3y5z=h, 2x+5y9z=k is consistent, then

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a
g+h+k=0
b
2g+h+k=0
c
g+2h+k=0
d
g+h+2k=0

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detailed solution

Correct option is B

Augmented matrix AD=1−4703−5−25−9     ghk    R3→R3+2R1                                                   ~1-47g03-5h0-352g+kR3→R3+R2~1-47g03-5h0002g+h+kThe system of equations is consistent ⇒2g+h+k=0


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