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The system of equations 2x+y+z=a;x2y+z=b;x+y2z=c is consistent if 

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a
a+b+c=0
b
a+b+c≤0
c
a+b+c≠0
d
a+b+c≥0

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detailed solution

Correct option is A

The system of equations is inconsistent 1−21b11−2c−211aR2−R1R3+2R1⇒1−21b03−3c−b0−33a+2bR3+R2⇒1−21b03−3c−b000a+b+c It is consistent if a+b+c=0


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