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The system of equations  3xy+4z=3,  x+2y3z=2,6x+5y+λz=3 has atleast one solution when 

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a
λ=−5
b
λ=3
c
λ=5
d
λ=6

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detailed solution

Correct option is A

Augmented matrix =3−14312−3−265λ−33R2−R1R3−2R1~3−14307−13−907λ−8−9R3−R23−14307−13−900λ+50 The system of equations has atleast on solution ⇒λ+5=0⇒λ=−5


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