x = -1 ; y = 1
x + 3y = 2, isolate x by subtracting 3y from both sides. Now that x is alone (because x = -3y + 2) take -3y + 2 and plug it into the second equation.
-(-3y + 2) + 2y =3 ; multiply what’s in the parenthesis by -1. It now is 3y -2 + 2y =3, add the common variables ( 3y + 2y) and you now have 5y-2=3. Move the 2 to the other side by adding it to both sides, you now have 5y=5, divide both sides by 5 and y=1.
Take any equation and plug y in for 1 to get x.
For example, (in the second equation), -x+2(1)=3, multiply 2 by 1 and you’re left with -x+2=3. Subtract 2 on both sides and you have -x=1, now divide both sides by -1 and x=-1.
You can check your work by plugging in the x and/or y values into the equations