Solve y=a^-1

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

Solve for a

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

$$y\neq 0$$

Steps for Solving Linear Equation

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

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

Reorder the terms.

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

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

$$1=ya$$

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

$$ya=1$$

Divide both sides by y.

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

Dividing by y undoes the multiplication by y.

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

Variable a cannot be equal to 0.

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

Solve for y

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

$$a\neq 0$$