Substitution
Step 1: Solve for x or y in either of the two equations. In the equations that you are given, y is already solved for you.
Step 2: Plug in 2x + 6 into the opposite equation.
2x + 6 = -3x + 16
- 6 - 6
------------------------------
2x = -3x + 10
+ 3x + 3x
------------------------------
5x = 10
------ ------
5 5
x = 2
Step 3: Plug in the x value into either equation.
y = 2(2) + 6
y = 4 + 6
y = 10
The final answer gets expressed as a coordinate pair: (x,y) (2,10)
I hope this helps you :)