Solve xy-3y-x=0

$$x y - 3 y - x = 0$$

Solve for x

$$x=\frac{3y}{y-1}$$

$$y\neq 1$$

Steps for Solving Linear Equation

Add 3y to both sides. Anything plus zero gives itself.

$$xy-x=3y$$

Combine all terms containing x.

$$\left(y-1\right)x=3y$$

Divide both sides by y-1.

$$\frac{\left(y-1\right)x}{y-1}=\frac{3y}{y-1}$$

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

$$x=\frac{3y}{y-1}$$

Solve for y

$$y=\frac{x}{x-3}$$

$$x\neq 3$$

Steps for Solving Linear Equation

Add x to both sides. Anything plus zero gives itself.

$$xy-3y=x$$

Combine all terms containing y.

$$\left(x-3\right)y=x$$

Divide both sides by x-3.

$$\frac{\left(x-3\right)y}{x-3}=\frac{x}{x-3}$$

Dividing by x-3 undoes the multiplication by x-3.

$$y=\frac{x}{x-3}$$