Solve xy-2y-3=0

$$x y - 2 y - 3 = 0$$

Solve for x

$$x=2+\frac{3}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Add 2y to both sides. Anything plus zero gives itself.

$$xy-3=2y$$

Add 3 to both sides.

$$xy=2y+3$$

The equation is in standard form.

$$yx=2y+3$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{2y+3}{y}$$

Dividing by y undoes the multiplication by y.

$$x=\frac{2y+3}{y}$$

Divide 2y+3 by y.

$$x=2+\frac{3}{y}$$

Solve for y

$$y=\frac{3}{x-2}$$

$$x\neq 2$$

Steps for Solving Linear Equation

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

$$xy-2y=3$$

Combine all terms containing y.

$$\left(x-2\right)y=3$$

Divide both sides by x-2.

$$\frac{\left(x-2\right)y}{x-2}=\frac{3}{x-2}$$

Dividing by x-2 undoes the multiplication by x-2.

$$y=\frac{3}{x-2}$$