4x = -3y - 10
9x + 2y = 6
Let us make those in the same format.
4x + 3y = -10
9x + 2y = 6
We need to make the y's or x's to be the same so, because of elimination, we can get rid of one.
8x + 6y = -20
27x + 6y = 18
Subtract them.....
-19x = -38
x = 2
Now plug in 2 for x in one of the equations.
4(2) = -3y - 10
8 = -3y - 10
18 = -3y
-6 = y
(2, -6) is your answer! :)