Question

-8x +12y = 8
6x - 9y = -6

Answer 1

Infinitely many solutions

Explanation:

`-8x+12y=8 \implies -2x+3y=2 \implies -6x+9y=6 \\ \\ \therefore (-6x+9y)+(6x-9y)=6-6 \\ \\ 0=0`

Since the system results in a statement that is always true, there are infinitely many solutions.