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