Question 145184
This is a bit different that the last one. The last one had the coefficients of one the variable equal. This one does not. So we need to make that happen before we add.

2x+y=4
3x-2y=-1  

Lets make the first equation's y terms have the same absolute value.
2x + y = 4
4x + 2y = 8    now we can see that the 2y in this equation is the same absolute value as the -2y in the second equation. So we can add them easily.

4x + 2y = 8
3x - 2y= -1 
------------
7x      = 7
x = 1

Solve for y
4 + 2y = 8
2y = 4
y=2

Getting the idea now?