Solve y=3xy

$$y = 3xy$$

Solve for x

$$\left\{\begin{matrix}\\x=\frac{1}{3}\approx 0.333333333\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$3xy=y$$

The equation is in standard form.

$$3yx=y$$

Divide both sides by 3y.

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

Dividing by 3y undoes the multiplication by 3y.

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

Divide y by 3y.

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

Solve for y

$$\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=\frac{1}{3}\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract 3xy from both sides.

$$y-3xy=0$$

Combine all terms containing y.

$$\left(1-3x\right)y=0$$

Divide 0 by 1-3x.

$$y=0$$