Answer :
[tex]6x-12y=96\\ 6x-12y-6x=96-6x\\ -12y=96-6x\\ \frac{-12y}{-12}=\frac{96}{-12}-\frac{6}{-12} \\ y=-8x+\frac{1}{2}[/tex]
6x-12y=96
Subtract 6x from both sides
-12y=-6x+96
Divide everything by -12
y=0.5x-8
Plug Y into the equation to solve for x
6x-12(0.5x-8)=96
Distribute
6x-6x+96=96
Combine Like terms
x+96=96
x=0
Plug x into the original equation to finally get a number for y
6(0)-12y=96
-12y=96
Divide both sides by -12
y=-8
Subtract 6x from both sides
-12y=-6x+96
Divide everything by -12
y=0.5x-8
Plug Y into the equation to solve for x
6x-12(0.5x-8)=96
Distribute
6x-6x+96=96
Combine Like terms
x+96=96
x=0
Plug x into the original equation to finally get a number for y
6(0)-12y=96
-12y=96
Divide both sides by -12
y=-8
