First I would rewrite it so all the x's and y's are in the same places
3x-2y=9
-2x+y=-7
Then multiply the bottom one by 2
-4x+2y=-14
Then add the equations
3x-2y=9
+-4x+2y=-14
-------------------
-x=-5 or x=5
The substitute this into one of the original equations to solve for y.
y=2(5)-7
y=3
So your answer is x=5 and y=3 or (5,3)
Hope this helps.