Solve y=2x/x-2

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

Solve for x

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

$$y\neq 2$$

Steps for Solving Linear Equation

Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by x-2.

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

Use the distributive property to multiply y by x-2.

$$yx-2y=2x$$

Subtract 2x from both sides.

$$yx-2y-2x=0$$

Add 2y to both sides. Anything plus zero gives itself.

$$yx-2x=2y$$

Combine all terms containing x.

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

Divide both sides by y-2.

$$\frac{\left(y-2\right)x}{y-2}=\frac{2y}{y-2}$$

Dividing by y-2 undoes the multiplication by y-2.

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

Variable x cannot be equal to 2.

$$x=\frac{2y}{y-2}\text{, }x\neq 2$$

Solve for y

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

$$x\neq 2$$