Solve y=3xy+9

$$y = 3 x y + 9$$

Solve for x

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

$$y\neq 0$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$3xy+9=y$$

Subtract 9 from both sides.

$$3xy=y-9$$

The equation is in standard form.

$$3yx=y-9$$

Divide both sides by 3y.

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

Dividing by 3y undoes the multiplication by 3y.

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

Divide y-9 by 3y.

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

Solve for y

$$y=\frac{9}{1-3x}$$

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

Steps for Solving Linear Equation

Subtract 3xy from both sides.

$$y-3xy=9$$

Combine all terms containing y.

$$\left(1-3x\right)y=9$$

Divide both sides by 1-3x.

$$\frac{\left(1-3x\right)y}{1-3x}=\frac{9}{1-3x}$$

Dividing by 1-3x undoes the multiplication by 1-3x.

$$y=\frac{9}{1-3x}$$