Solve xy-8y=x+9

$$x y - 8 y = x + 9$$

Solve for x

$$x=\frac{8y+9}{y-1}$$

$$y\neq 1$$

Steps for Solving Linear Equation

Subtract x from both sides.

$$xy-8y-x=9$$

Add 8y to both sides.

$$xy-x=9+8y$$

Combine all terms containing x.

$$\left(y-1\right)x=9+8y$$

The equation is in standard form.

$$\left(y-1\right)x=8y+9$$

Divide both sides by y-1.

$$\frac{\left(y-1\right)x}{y-1}=\frac{8y+9}{y-1}$$

Dividing by y-1 undoes the multiplication by y-1.

$$x=\frac{8y+9}{y-1}$$

Solve for y

$$y=\frac{x+9}{x-8}$$

$$x\neq 8$$

Steps for Solving Linear Equation

Combine all terms containing y.

$$\left(x-8\right)y=x+9$$

Divide both sides by x-8.

$$\frac{\left(x-8\right)y}{x-8}=\frac{x+9}{x-8}$$

Dividing by x-8 undoes the multiplication by x-8.

$$y=\frac{x+9}{x-8}$$