Q.

The system of linear equations x−4y+7z=g, 3y−5z=h, −2x+5y−9z=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

answer is B.

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Detailed Solution

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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The system of linear equations x−4y+7z=g, 3y−5z=h, −2x+5y−9z=k is consistent, then