The final answer is (2,1).
Step 1: Solve for either x or y in one of the two equations.
x + 3y = 5
- 3y - 3y
----------------------
x = -3y + 5
Step 2: Substitute the expression you got for x into the opposite equation.
-3y + 5 - 3y = -1
-6y + 5 = -1
- 5 - 5
--------------------
-6y = -6
------ -----
-6 6
y = 1
Step 3: Plug in the solution you got for y into either of the 2 equations.
x + 3(1) = 5
x + 3 = 5
- 3 - 3
---------------
x = 2
