Answer
${(x,y) | 3x-6y=12}$
Please see the graph.
Work Step by Step
$3x-6y=12$
$2y=x-4$
$2y=x-4$
$2y+4=x-4+4$
$2y+4=x$
$3x-6y=12$
$3(2y+4)-6y=12$
$6y+12-6y=12$
$12=12$ (true statement)
$3x-6y=12$
$2y=x-4$
$2y*3=(x-4)*3$
$6y=3x-12$
$3x-6y=12$
$3x-(3x-12)=12$
$3x-3x+12=12$
$12=12$ (true statement)