To do this you want to solve for one variable at a time. So we want to cancel out a variable. Lets cancel x. I will multiply the first equation by the number 4 to get 4y=4x-16.
Now lets solve equation 2 for y, giving
-3y=-4x+3 now add equation 1 to equation 2 
Y =-13
Now plug that back in to either 
-13=x-4 
X=-9 
So the answer is (-9,-13)