Solve y=3x^-1

$$y=3 { x }^{ -1 }$$

Solve for x

$$x=\frac{3}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

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

$$3x^{-1}=y$$

Reorder the terms.

$$3\times \frac{1}{x}=y$$

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

$$3\times 1=yx$$

Multiply 3 and 1 to get 3.

$$3=yx$$

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

$$yx=3$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{3}{y}$$

Dividing by y undoes the multiplication by y.

$$x=\frac{3}{y}$$

Variable x cannot be equal to 0.

$$x=\frac{3}{y}\text{, }x\neq 0$$

Solve for y

$$y=\frac{3}{x}$$

$$x\neq 0$$