#### Answer

parallel

#### Work Step by Step

$x-3y=6$
$\underline{x\ \ \ \ \ \ \ y}$
$3\ \ \ -1$
$0\ \ \ -2$
$6\ \ \ \ \ \ \ \ 0$
$2x-6y=18$
$\underline{x\ \ \ \ \ \ \ y}$
$3\ \ \ -2$
$0\ \ \ -3$
$9\ \ \ \ \ \ \ \ 0$
There are no common solutions for these 2 equations.