For what value of k, 2x+3y=4 and kx+6y=2 will have infinitely many solutions
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For a pair of linear equations, if
a/a2 = b / b2 = c / c2
2/k+2 = 3/6 = 4/3k+2
2/k+2=4/3k +2
2( 3k + 2) = 4( k + 2)
6k + 4 = 4k + 8
6 k - 4 k = 8-4
2 k =4
k = 2.
Hence, to have infinite solutions, k=2
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