We will see that the system of equations has infinite solutions, each of the form:
y = (3/2)*(x + 1)
Here we have the system:
3x - 2y = -3
-9x + 6y = 9
Notice that if we add 3 times the first equation to the second one, we get zero.
3*(3x - 2y) + -9x + 6y = 3*(-3) + 9
9x - 6y - 9x + 6y = -9 + 9
0 = 0
This actually means that both equations represent the same line, then, the "two" lines intersect in infinite points, meaning that the system of equations has infinite solutions, which are of the form:
3x - 2y = -3
2y = 3 + 3x
y = (3/2)*(x + 1)
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13729904
