How to solve using the elimination method

Question

-6x-6y=-12

-6x+7y=14

Answer 1

Elimination method

-6x-6y = -12 -------> (1)

-6x+7y = 14 --------.> (2)

To eliminate the x value subract  the equation (2) from (1).

-6x-6y = -12

-6x+7y = 14

(+) (-)     (-)

__________

-13y = -26

Divide to each side by negitive 13.

-13y/-13 = -26/-13

⇒ y =2

Substitute the y value in (1).

-6x-6*2 = -12

-6x-12 = -12

Add 12 to each side.

-6x-12+12 = -12+12

-6x = 0

Divide to each side by negitive 6.

-6x/-6 = 0/-6

⇒ x = 0

Solution x = 0, y = 2.