Determine all values of h and k for which the system has no solution

Question

-7x-3y=h

-8x+ky=-6

k=?

h ≠

Answer 1

k=-24/7

h not=-21/4

8=(8/7)(7)

k=(8/7)(-3)

h not=(7/8)(-6)

if h=-21/4 there are an infinite number of solutions

as the 2nd equation becomes 8/7 times the 1st

if h doesn"t = -21/4 there are no solutions

they become parallel lines with no intersection