You have 3x - y + 2z = 6 -x + y = 2 x - 2z = -5 I am going to solve for x because it is in all three equations (this is required). To do that solve for the other variables that are not x (y and z in this equation) -x + y = 2 y = 2 + x Now the next one x - 2z = -5 -2z = -5 - x z = 5/2 + x/2 Now that you solved for y and z, you can plug that into the first equation that has all three variables. 3x - y + 2z = 6 3x - (2 + x) + 2(5/2 + x/2) = 6 3x - 2 - x + 5 + x = 6 3x + 3 = 6 3x = 3 x = 1 hope that helps u