Question

Solve by elimination
6x-12y=24;-x-6y=4

Answer 1

`6x-12y=24 \\ -x-6y=4 \ \ \ \ \ \ \ \ |* (-2) \\ \\ 6x-12y=24 \\ \underline{2x+12y=-8 \ \ \ } \\ 6x+2x=24-8 \\ 8x=16 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 8 \\ x=2 \\ \\ -x-6y=4 \\ -2-6y=4 \ \ \ \ \ \ \ \ \ |+2 \\ -6y=6 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ (-6) \\ y=-1 \\ \\ \boxed{(x,y)=(2,-1)}`