Solve y=8x/(x-2)

$$y = \frac { 8 x } { ( x - 2 ) }$$

Solve for x

$$x=-\frac{2y}{8-y}$$

$$y\neq 8$$

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.

$$y\left(x-2\right)=8x$$

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

$$yx-2y=8x$$

Subtract 8x from both sides.

$$yx-2y-8x=0$$

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

$$yx-8x=2y$$

Combine all terms containing x.

$$\left(y-8\right)x=2y$$

Divide both sides by y-8.

$$\frac{\left(y-8\right)x}{y-8}=\frac{2y}{y-8}$$

Dividing by y-8 undoes the multiplication by y-8.

$$x=\frac{2y}{y-8}$$

Variable x cannot be equal to 2.

$$x=\frac{2y}{y-8}\text{, }x\neq 2$$

Solve for y

$$y=\frac{8x}{x-2}$$

$$x\neq 2$$