Answer
$(-5, -2)$
Graphing was a more efficient method. (Please see the graph)
Work Step by Step
$3x-9y = 3$
$6x-3y = -24$
$-3*(6x-3y = -24)$
$-18x + 9y = 72$
$3x-9y = 3$
$-18x+9y = 72$
$(3x-18x -9y+9y) = (3+72)$
$-15x = 75$
$-15x/-15 = 75/-15$
$x = -5$
$3x-9y =3$
$3*-5 -9y = 3$
$-15 -9y = 3$
$-15-9y+15 = 3+15$
$-9y = 18$
$-9y/-9 = 18/-9$
$y = -2$
The graph was made using graphing software.
Orange line: $3x-9y=3$
Purple line: $6x-3y=-24$
