Equation 1) x - y = 5
Equation 2) 3x - 2y = 12
Multiply the first equation by 2.
1) 2(x - y = 5)
1) 2x - 2y = 10
2) 3x -2y = 12
Subtract equations from one another.
-x = -2
x = 2
Plug in 2 for x in the first equation.
x - y = 5
(2) - y = 5
Subtract 2 from both sides.
-y = 5 - 2
-y = 3
Divide both sides by -1.
y = -3
So, x = 2, y = -3
~Hope I helped!~