Solve xy-x-y=53

$$x y - x - y = 53$$

Solve for x

$$x=\frac{y+53}{y-1}$$

$$y\neq 1$$

Steps for Solving Linear Equation

Add y to both sides.

$$xy-x=53+y$$

Combine all terms containing x.

$$\left(y-1\right)x=53+y$$

The equation is in standard form.

$$\left(y-1\right)x=y+53$$

Divide both sides by y-1.

$$\frac{\left(y-1\right)x}{y-1}=\frac{y+53}{y-1}$$

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

$$x=\frac{y+53}{y-1}$$

Solve for y

$$y=\frac{x+53}{x-1}$$

$$x\neq 1$$

Steps for Solving Linear Equation

Add x to both sides.

$$xy-y=53+x$$

Combine all terms containing y.

$$\left(x-1\right)y=53+x$$

The equation is in standard form.

$$\left(x-1\right)y=x+53$$

Divide both sides by x-1.

$$\frac{\left(x-1\right)y}{x-1}=\frac{x+53}{x-1}$$

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

$$y=\frac{x+53}{x-1}$$