Solve 8x-80=2y+100

$$8x-80=2y+100$$

Solve for x

$$x=\frac{y+90}{4}$$

Steps for Solving Linear Equation

Add 80 to both sides.

$$8x=2y+100+80$$

Add 100 and 80 to get 180.

$$8x=2y+180$$

Divide both sides by 8.

$$\frac{8x}{8}=\frac{2y+180}{8}$$

Dividing by 8 undoes the multiplication by 8.

$$x=\frac{2y+180}{8}$$

Divide 180+2y by 8.

$$x=\frac{y}{4}+\frac{45}{2}$$

Solve for y

$$y=4x-90$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$2y+100=8x-80$$

Subtract 100 from both sides.

$$2y=8x-80-100$$

Subtract 100 from -80 to get -180.

$$2y=8x-180$$

Divide both sides by 2.

$$\frac{2y}{2}=\frac{8x-180}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$y=\frac{8x-180}{2}$$

Divide 8x-180 by 2.

$$y=4x-90$$