Find the solution of this system of equations

-6x+y=-12

7x+8y=14

(Note: I am going to solve using the elimination method)

1. I am going to multiply the first equation by - 8 so I can cancel out y.

-8 (-6x + y = - 12) - - - > 48x - 8y = 96

7x + 8y = 14 - - - > 7x + 8y = 14

2. Cancel out Y and add the two polynomials

48x - 8y = 96

7x + 8y = 14

55x = 110

3. Solve

55x = 110

55 55

x = 2

4. Substitute into either original equation and solve for other variable

-6 (2) + y = - 12

-12 + y = - 12

+ 12 + 12

y = 0

5. Substitute Ordered Pairs (Optional)

-6 (2) + (0) = - 12

-12 = - 12

You have to get - 6x on the right side because that’s how the equation is to be in the first place and to do that you have to add it to itself then to the - 12.