The two easiest ways to solve a system of equations (in my opinion) are to add the equations together while getting rid of a variable, or solving for a variable in one equation and plugging it into another. The latter is the method I will use.
3x - y = 4 (solve for y) 3x = 4 + y 3x - 4 = y y = 3x - 4
Now we can plug y into the other equation: 6x + 3y = 13 6x + 3(3x - 4) = 13 6x + 9x - 12 = 13 15x = 25 x = 25/15 x = 5/3 The answer is x = 5/3
If you ever needed to find y as well, you can plug this into either equation to find y. 3x - y = 4 3(5/3) - y = 4 5 - y = 4 y = 1
