Solve for a
a=\frac{100}{c}
c\neq 0
Solve for c
c=\frac{100}{a}
a\neq 0
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100=ac
Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by ac.
ac=100
Swap sides so that all variable terms are on the left hand side.
ca=100
The equation is in standard form.
\frac{ca}{c}=\frac{100}{c}
Divide both sides by c.
a=\frac{100}{c}
Dividing by c undoes the multiplication by c.
a=\frac{100}{c}\text{, }a\neq 0
Variable a cannot be equal to 0.
100=ac
Variable c cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by ac.
ac=100
Swap sides so that all variable terms are on the left hand side.
\frac{ac}{a}=\frac{100}{a}
Divide both sides by a.
c=\frac{100}{a}
Dividing by a undoes the multiplication by a.
c=\frac{100}{a}\text{, }c\neq 0
Variable c cannot be equal to 0.
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