Question

the pair of linear equation 2y+5y=k,kx+15y=18 has infinitely solution . find the value of k​

Answer 1

Here, A1 = 2, B1 = 5, C1 = k

A2 = k, B2 = 15, C2 = 18

Infinite solution = A1/A2 = B1/B2 = C1/C2

2/k = 5/15 = k/18

2×15 = 5×k

30 = 5k

30/5 = k

k = 6

Hence the value of K is 6

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