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Q11. Determine the value of kfor which the given system of linear equations hasinfinitely many solutions12x + ky-k

Answer»

For equations have infinite many solutionsa1/a2 = b1/b2 = c1/c2

Given equations kx + 3y = k - 312x + ky = k

a1 = 6, b1 = 3, c1 = 3-ka2 = 12, b2 = k, c2 = - k

Then, 6/12 = 3/k k = 3*2 = 6

Value of k = 6



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