Solve x=2x/y

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

Solve for x (complex solution)

$$\left\{\begin{matrix}x=0\text{, }&y\neq 0\\x\in \mathrm{C}\text{, }&y=2\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract \frac{2x}{y} from both sides.

$$x-\frac{2x}{y}=0$$

To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{y}{y}.

$$\frac{xy}{y}-\frac{2x}{y}=0$$

Since \frac{xy}{y} and \frac{2x}{y} have the same denominator, subtract them by subtracting their numerators.

$$\frac{xy-2x}{y}=0$$

Multiply both sides of the equation by y.

$$xy-2x=0$$

Combine all terms containing x.

$$\left(y-2\right)x=0$$

Divide 0 by -2+y.

$$x=0$$

Solve for x

$$\left\{\begin{matrix}x=0\text{, }&y\neq 0\\x\in \mathrm{R}\text{, }&y=2\end{matrix}\right.$$

Steps for Solving Linear Equation

Subtract \frac{2x}{y} from both sides.

$$x-\frac{2x}{y}=0$$

To add or subtract expressions, expand them to make their denominators the same. Multiply x times \frac{y}{y}.

$$\frac{xy}{y}-\frac{2x}{y}=0$$

Since \frac{xy}{y} and \frac{2x}{y} have the same denominator, subtract them by subtracting their numerators.

$$\frac{xy-2x}{y}=0$$

Multiply both sides of the equation by y.

$$xy-2x=0$$

Combine all terms containing x.

$$\left(y-2\right)x=0$$

Divide 0 by -2+y.

$$x=0$$

Solve for y

$$\left\{\begin{matrix}\\y=2\text{, }&\text{unconditionally}\\y\neq 0\text{, }&x=0\end{matrix}\right.$$

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.

$$xy=2x$$

Divide both sides by x.

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

Dividing by x undoes the multiplication by x.

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

Divide 2x by x.

$$y=2$$