Name the point of intersection for the following system, if it exists.

4x – 3y = -3
3x – y = -6

we have to solve the system.

multiply the 2nd by -3
-9x + 3y = 18
add that to the first

-9x + 3y = 18
4x- 3y = -3

-5x = 15
x = -3
sub into the original 2nd
-9 - y = -6
9+y=6
y = -3

so they intersect at (-3,-3)