Question

The value of k for which the system of equations 2x+3y=5 and 4x+ ky= 10 has infinite many solutions is (a)1 (b)3 (c)6 (d)10

Answer 1

Answer:

If we want infinite solutions then the condition is:

a1/a2=b1/b2=c1/c2, so we get infinite solution

Now, a1/a2 = 2/4, b1/b2 = 3/k, c1/c2 = 5/10

= 1/2 =3/k = 1/2

So, We get the equation is --

1/2 = 3/k

k = 6

So, the value of k is 6(c) that has infinite solutions.

I hope it may help you.