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For what value of k , will the system of...

For what value of `k` , will the system of equations `x+2y=5,\ \ \ \ 3x+k y-15=0` has (i) a unique solution? (ii) no solution

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The correct Answer is:
(i) ` k ne 6 ` (ii) `k = 6`
(i)`1/3 ne 2/k rArr k ne 6`.
(ii) ` (1)/(3)= ( 2)/(k ) ne (-5)/(15) rArr (1)/(3) = (2)/(k) ne (-1)/(3) rArr k = 6.`
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