I want to add the first equation to the second so that I eliminate '2y' and solve the second equation for 'x':

Now I get the equation:

-2x = - 4

and find x:

x = 2

Once I know 'x' I can find 'y' from:

- 6x - 2y = -12

Plug x = 2 into the above equation and solve for y:

-6*2 - 2y = -12

- 12 - 2y = - 12

- 2y = 0

y = 0