Answer
parallel
Work Step by Step
$-3x+9y=20$
$-3x+9y+3x=20+3x$
$9y\div9=(3x+20)\div9$
$y=\frac{3}{9}x+\frac{20}{9}$
$y=\underset\uparrow{\frac{1}{3}}x+\frac{20}{9}$
$\ \ \ \ \ \ $slope
$3y=x$
$3y\div3=x\div3$
$y=\underset\uparrow{\frac{1}{3}}x$
$\ \ \ \ \ \ $slope
The slope is $\frac{1}{3}$ for both equations so the lines are parallel.
