Solve 1/r_{16}=x^-1

$$\frac { 1 } { r _ { 16 } } = x ^ { - 1 }$$

Solve for r_16

$$r_{16}=x$$

$$x\neq 0$$

Solution Steps

Variable r_{16} cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by r_{16}.

$$1=r_{16}x^{-1}$$

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

$$r_{16}x^{-1}=1$$

Reorder the terms.

$$\frac{1}{x}r_{16}=1$$

Multiply both sides of the equation by x.

$$1r_{16}=x$$

Reorder the terms.

$$r_{16}=x$$

Variable r_{16} cannot be equal to 0.

$$r_{16}=x\text{, }r_{16}\neq 0$$

Solve for x

$$x=r_{16}$$

$$r_{16}\neq 0$$

Solution Steps

Multiply both sides of the equation by r_{16}.

$$1=r_{16}x^{-1}$$

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

$$r_{16}x^{-1}=1$$

Reorder the terms.

$$\frac{1}{x}r_{16}=1$$

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

$$1r_{16}=x$$

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

$$x=1r_{16}$$

Reorder the terms.

$$x=r_{16}$$

Variable x cannot be equal to 0.

$$x=r_{16}\text{, }x\neq 0$$