2x + y = 3 2x – y = 4 using elimination to solve this system results in the equation .

You can use elimination by adding the two equations to "cancel out" one of the variables. in this example y will cancel out.

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

2x = 6
x = 3 

now that we know our x value, we can plug it into one of the other equations to get our y value.

2(3) + y = 3
6 + y = 3
y = -3

your answer for this system is x=3, y=-3