#### Answer

One solution (-11,-7)

#### Work Step by Step

You have the equations 5x+4y=-83 and 3x-3y=-12. Multiply the first one by 3 and the second by 3 to be able to eliminate them:
3(5x+4y=-83)=15x+12y=-249
-5(3x-3y=-12)=-15x+15y=60
Combine the equations to eliminate them:
15x+12y=-249
-15x+15y=60
27y=-189 -divide both sides by 27-
y=-7
Plug in y=-7 into one of the equations:
3x-3(-7)=-12
3x+21=-12
3x=-33
x=-11
There is one solution (-11,-7)