Solve xy=9x-9y-9

$$x y = 9 x - 9 y - 9$$

Solve for x

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

$$y\neq 9$$

Steps for Solving Linear Equation

Subtract 9x from both sides.

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

Combine all terms containing x.

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

Divide both sides by y-9.

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

Dividing by y-9 undoes the multiplication by y-9.

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

Divide -9y-9 by y-9.

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

Solve for y

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

$$x\neq -9$$

Steps for Solving Linear Equation

Add 9y to both sides.

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

Combine all terms containing y.

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

Divide both sides by x+9.

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

Dividing by x+9 undoes the multiplication by x+9.

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

Divide -9+9x by x+9.

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