First: Multiply Equation 2 by -2.
2x - 3y = 13
-2x - 4y = 8
Second: Add the two equations to eliminate your x factor.
-7y = 21
Third: Divide both sides by -7 to isolate x
y = -3
Fourth: Substitute your y value back into one of your prior equations to solve for x.
x + 2(-3) = -4
x - 6 = -4
+ 6 +6
_________
x = 2
x = 2, y = -3
