Here is one possible method of solving the system: 5x = 4y - 30
2x + 3y = -12
Rewrite to line up variables:
5x - 4y = -30
2x + 3y = -12
Multiply the top equation by 2 and the bottom equation by 5:
10x - 8y = -60
10x + 15y = -60
Subtract the two equations:
-23y = 0;
So y = 0; plug back into an original equation to find x:
2x + 3(0) = -12
2x = -12
x = -6The solution to the system is x = -6 and y = 0, or the point (-6,0).