Question

find the value of k for which the pair of linear equation 2x-3y+7=0 and 4x-ky-14=0 will have infinite solution. class 10 cbse maths ch-linear equation in two variable

Answer 1

A1/A2=B1/B2=C1/C2
2/4=-3/-k=7/-14
-2k=4*-3
-2k=-12
K=6

Answer 2

2x+3y = 7

4x+ky = 14

Infinite number of solutions means

a1/a2 = b1/b2 = c1 /c2

So 2/4=3/k=7/14

2/4=3/k

2k=4×3

2k = 12

k= 12/2

k= 6

You can see the attachment also.

Hope this will help you.