6x - 4 y = -2 Equation (1)
-4x - 4y = -12 Equation (2)
Let us solve the system of equations using the elimination method.
4x + 4y = 12 (Multiplying on both sides of the equation 2 by -1)
+ 6x - 4 y = -2 (Adding the equation 1 to the last form of the equation 2)
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10 x = 10 (Adding like terms)
x = 10/10 (Dividing by 10 on both sides of the equation)
x = 1 (Dividing)
Then, we replace x= 1 in the equation 1 to find y. Doing so, we have:
6(1) - 4y = -2
6 - 4y= -2 (Multiplying)
6 = 4y -2 (Adding 4y to both sides of the equation)
6 + 2 = 4y (Adding 2 to both sides of the equation)
8 = 4y (Adding)
8/4 = y (Dividing by 4 on both sides of the equation)
2= y
The answers are: x= 1 and y=2.