#### Answer

parallel

#### Work Step by Step

Find two point for each equation Plot and connect with a line.
$3x-6y=12$
$3(0)-6y=12$
$-6y\div-6=12\div-6$
$y=-2\longrightarrow$ one point is (0,-2)
$3x-6y=12$
$3x-6(0)=12$
$3x\div3=12\div3$
$x=4\longrightarrow$ one point is (4,0)
$4x-8y=12$
$4(0)-8y=12$
$-8y\div-8=12\div-8$
$y=-1.5\longrightarrow$ one point is (0,-1.5)
$4x-8y=12$
$4x-8(0)=12$
$4x\div4=12\div4$
$x=3\longrightarrow$ one point is (3,0)
The lines are parallel. There is no common solution.