Solve for a
a=\frac{1}{b}
b\neq 0
Solve for b
b=\frac{1}{a}
a\neq 0
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ab=0+1+0
Do the multiplications.
ab=1+0
Add 0 and 1 to get 1.
ab=1
Add 1 and 0 to get 1.
ba=1
The equation is in standard form.
\frac{ba}{b}=\frac{1}{b}
Divide both sides by b.
a=\frac{1}{b}
Dividing by b undoes the multiplication by b.
ab=0+1+0
Do the multiplications.
ab=1+0
Add 0 and 1 to get 1.
ab=1
Add 1 and 0 to get 1.
\frac{ab}{a}=\frac{1}{a}
Divide both sides by a.
b=\frac{1}{a}
Dividing by a undoes the multiplication by a.
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