Solve y=2/x-2

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

Solve for x

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

$$y\neq -2$$

Steps for Solving Linear Equation

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

$$yx=2+x\left(-2\right)$$

Subtract x\left(-2\right) from both sides.

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

Multiply -1 and -2 to get 2.

$$yx+2x=2$$

Combine all terms containing x.

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

Divide both sides by y+2.

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

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

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

Variable x cannot be equal to 0.

$$x=\frac{2}{y+2}\text{, }x\neq 0$$

Solve for y

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

$$x\neq 0$$