Systems of elimination(plz best answer=brainliest) x+2y=2 -x+3y=13

x + 2y = 2
-x + 3y = 13

As the x-terms of these equations are already opposites, you can begin to solve by elimination by adding the equations together.

     x + 2y = 2
    -x + 3y = 13
+
     0 + 5y = 15
             y = 3

Now that you have y, substitute its value, 3, into either equation to find x.

x + 2y = 2
x + 2(3) = 2
x + 6 = 2
x = -4

Lastly, check all work by substituting both x- and y-values into both original equations.

x + 2y = 2
-4 + 2(3) = 2
-4 + 6 = 2
2 = 2

-x + 3y = 13
-(-4) + 3(3) = 13
4 + 3(3) = 13
4 + 9 = 13
13 = 13

x = -4
y = 3

(-4, 3)