For what value of k, system of equations, does x+2y=3&5x+ky=15 have infinite solutions?

Answer 1

You got to put this into an augmented matrix, and the perform reed. Then find the values of k when you have 0=0 for the bottom right e.g.

1 0 | 2

0 0 | k-2

then 0=0 implies infinite solutions so k=2 would be the answer

that should be enough for you to figure the problem out