2x-3y=-6
x+2y=8
you subtract the 2y from the second equation to get x by itself so you can use the rule of substitution.
2x-3y=-6
x=-2y+8
now you take what the x is equal to and plug that whole equation into the second equation
2(-2y+8)-3y=-6
now distribute your parentheses.
-4y+16-3y=-6
Add your like terms
-7y+16=-6
Subtract the 16 to one side.
-7y=-22
Divide by the -7
y=22/7
Now plug the y value (22/7) into one of the two equations to find the x value.
