Solve for a
a=\frac{1}{x}
x\neq 0
Solve for x
x=\frac{1}{a}
a\neq 0
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-ax=-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
\left(-x\right)a=-1
The equation is in standard form.
\frac{\left(-x\right)a}{-x}=-\frac{1}{-x}
Divide both sides by -x.
a=-\frac{1}{-x}
Dividing by -x undoes the multiplication by -x.
a=\frac{1}{x}
Divide -1 by -x.
-ax=-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
\left(-a\right)x=-1
The equation is in standard form.
\frac{\left(-a\right)x}{-a}=-\frac{1}{-a}
Divide both sides by -a.
x=-\frac{1}{-a}
Dividing by -a undoes the multiplication by -a.
x=\frac{1}{a}
Divide -1 by -a.
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