If you set the problem like you are going to add it, it will look like this:
3x+2y=14
+4x-2y=16
——————
2y+(-2y) will cancel out leaving you with:
7x=30
Divide by seven to get x by itself, you will get:
x=5
Now plug that in to 4x-2y=16
4(5)-2y=16
20-2y=16
Minus 20 on both sides
-2y=16
Divide by -2 to get y by itself
y=8
Thus,
x=5 and y=8