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If the system of linear equationsx4y+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+h+2k=0
d
g+2h+k=0

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detailed solution

Correct option is B

Δ=1-4703-5-25-9=0Since, Δ=0and the equations is consistent,∴Δ1=Δ2=Δ3=0∴Δ1=g-47h3-5k5-9=0  ⇒−2g−h−k=0 ⇒2g+h+k=0


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