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The system of equations x+y+z=6, x+2y+3z=10, x+2y+λz=k is inconsistent if λ=....,k....

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a
3, 7
b
3, 10
c
7, 10
d
10, 3

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detailed solution

Correct option is B

Augment Matrix AD =11161231012λk     Apply: R2→R2−R1;R3→R3−R1                                                ~1116012401λ−1k−6    Apply :R3→R3−R2                                                 ~1116012400λ−3k−10The system is inconsistent, if λ−3=0 , k−10≠0⇒ λ=3 , k≠10


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