Question 94932
There are a couple ways to do this. One simple way would be to add the linear system.

-4x+5y+-11
2x+3y=11->multiply by 2->4x+6y=22

Now, add the 2 equations.
-4x+5y=-11
 4x+6y= 22
__________
   11y=11
     y=1

Now substitute the y value in either equation.
2x+3(1)=11
2x+3=11
2x=8
x=4

Your x,y solution is (4,1)