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If the system of equations  2x3y+4=0,   5x2y1=0and 21x8y+λ=0 is consistent. Then  λ  is

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a
-1
b
0
c
1
d
-5

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detailed solution

Correct option is D

Given system is consistentGiven equations have a solution2x−3y+4=0→1,    5x−2y−1=0→(2)Solve (1) and (2),  x=1,   y=221x−8y+λ=0   ⇒21−16+λ=0λ=−5


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