If the system of equations 2x−3y+4=0,5x−2y−1=0 and 21x−8y+λ=0 is consistent , then λ is

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-1

-5

answer is D.

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Detailed Solution

Given system of equation is consistent ⇒ Given equations has a solution.2x−3y+4=0,5x−2y−1=0⇒x=1,y=221x−8y+λ=0⇒21−16+λ=0⇒λ=−5