The number of values of K for which the system of equations k+1x+8y=4k,kx+k+3y=3k−1has no solution is

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answer is 1.

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Detailed Solution

From the given system, we havek+1k=8k+3≠4k3k-1⇒k2+4k+3=8k⇒k=1,3⇒k=3 ∴k=1 cannot satisty the inequality

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