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If the equations 4x + 6y = 15 and 8x +k...

If the equations ` 4x + 6y = 15 and 8x +ky = 30` have infinite solutions, then find the value of `k`. The following are the steps involved in solving the above problem. Arrange them in sequential order.
(A) `(4)/(8) = (6)/(k) = (-15)/(-30) rArr (6)/(k) = (1)/(2)`
(B) We know that, if `a_1x+ b_1y + c_1 =0 and a_2 x + b_2 y + c_2=0` have infinite solutions, then `(a_1)/(a_2) = (b_1)/(b_2) = (c_1)/(c_2) `.
(C) Given that, `4x + 6y - 15 =0 and 8x + ky - 30 =0` have infinite solutions.
(D) `therefore k = 12`.

A

CBAD

B

ABCD

C

CABD

D

BDAC

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