Solve x^2/y=3x

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

Solve for y

$$\left\{\begin{matrix}y=\frac{x}{3}\text{, }&x\neq 0\\y\neq 0\text{, }&x=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by y.

$$x^{2}=3xy$$

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

$$3xy=x^{2}$$

Divide both sides by 3x.

$$\frac{3xy}{3x}=\frac{x^{2}}{3x}$$

Dividing by 3x undoes the multiplication by 3x.

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

Divide x^{2} by 3x.

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

Variable y cannot be equal to 0.

$$y=\frac{x}{3}\text{, }y\neq 0$$

Solve for x

$$x=3y$$

$$x=0\text{, }y\neq 0$$