How do you eliminate 6x-12y=24 along with - x-6y=4

First you need to multiply by a factor that will givr you the same value in one of the x or y value.

(6x-12y=24) 1

+ (-x-6y=4) - 2

6x-12y=24

=2x+12y=-8

8x=16:8

x=2

now that you have x, substitute x by 2 in one of the eqauations

-2-6y=4

+2. + 2

=-6y=6

:-6. : - 6

y=-1