Solve for n
n=\frac{1}{x_{n}}
x_{n}\neq 0
Solve for x_n
x_{n}=\frac{1}{n}
n\neq 0
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x_{n}n=1
Variable n cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by n.
\frac{x_{n}n}{x_{n}}=\frac{1}{x_{n}}
Divide both sides by x_{n}.
n=\frac{1}{x_{n}}
Dividing by x_{n} undoes the multiplication by x_{n}.
n=\frac{1}{x_{n}}\text{, }n\neq 0
Variable n cannot be equal to 0.
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