Question

For what value of k does the linear system below have infinite solutions?

2x - 6y = k
6x - 18y = 30

Answer 1

10

Explanation:

The first equation should be the same with the second one, then we will have an infinite number of solutions of this system.

So if I multiply the first equation by 3, it'll be

6x-18y=3k

So if they should be the same, 30=3k

K=10