Solve for k
k=\frac{1}{x}
x\neq 0
Solve for x
x=\frac{1}{k}
k\neq 0
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1=kx
Multiply both sides of the equation by x.
kx=1
Swap sides so that all variable terms are on the left hand side.
xk=1
The equation is in standard form.
\frac{xk}{x}=\frac{1}{x}
Divide both sides by x.
k=\frac{1}{x}
Dividing by x undoes the multiplication by x.
1=kx
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
kx=1
Swap sides so that all variable terms are on the left hand side.
\frac{kx}{k}=\frac{1}{k}
Divide both sides by k.
x=\frac{1}{k}
Dividing by k undoes the multiplication by k.
x=\frac{1}{k}\text{, }x\neq 0
Variable x cannot be equal to 0.
Examples
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Simultaneous equation
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Limits
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