Solve for x
x=\frac{1}{10y}
y\neq 0
Solve for y
y=\frac{1}{10x}
x\neq 0
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y\times 10x=1
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 10x.
10xy=1
Reorder the terms.
10yx=1
The equation is in standard form.
\frac{10yx}{10y}=\frac{1}{10y}
Divide both sides by 10y.
x=\frac{1}{10y}
Dividing by 10y undoes the multiplication by 10y.
x=\frac{1}{10y}\text{, }x\neq 0
Variable x cannot be equal to 0.
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