Solve 9xy-3y=3

$$9 x y - 3 y = 3$$

Solve for x

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

$$y\neq 0$$

Steps for Solving Linear Equation

Add 3y to both sides.

$$9xy=3+3y$$

The equation is in standard form.

$$9yx=3y+3$$

Divide both sides by 9y.

$$\frac{9yx}{9y}=\frac{3y+3}{9y}$$

Dividing by 9y undoes the multiplication by 9y.

$$x=\frac{3y+3}{9y}$$

Divide 3+3y by 9y.

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

Solve for y

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

$$x\neq \frac{1}{3}$$

Steps for Solving Linear Equation

Combine all terms containing y.

$$\left(9x-3\right)y=3$$

Divide both sides by 9x-3.

$$\frac{\left(9x-3\right)y}{9x-3}=\frac{3}{9x-3}$$

Dividing by 9x-3 undoes the multiplication by 9x-3.

$$y=\frac{3}{9x-3}$$

Divide 3 by 9x-3.

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