Solve y=x^2-3

$$y= { x }^{ 2-3 }$$

Solve for x

$$x=\frac{1}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Subtract 3 from 2 to get -1.

$$y=x^{-1}$$

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

$$x^{-1}=y$$

Reorder the terms.

$$\frac{1}{x}=y$$

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

$$1=yx$$

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

$$yx=1$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{1}{y}$$

Dividing by y undoes the multiplication by y.

$$x=\frac{1}{y}$$

Variable x cannot be equal to 0.

$$x=\frac{1}{y}\text{, }x\neq 0$$

Solve for y

$$y=\frac{1}{x}$$

$$x\neq 0$$