Solve for x
x=\frac{3}{y}
y\neq 0
Solve for y
y=\frac{3}{x}
x\neq 0
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3x^{-1}=y
Swap sides so that all variable terms are on the left hand side.
3\times \frac{1}{x}=y
Reorder the terms.
3\times 1=yx
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
3=yx
Multiply 3 and 1 to get 3.
yx=3
Swap sides so that all variable terms are on the left hand side.
\frac{yx}{y}=\frac{3}{y}
Divide both sides by y.
x=\frac{3}{y}
Dividing by y undoes the multiplication by y.
x=\frac{3}{y}\text{, }x\neq 0
Variable x cannot be equal to 0.
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