Solve for x
x=-\frac{1}{3y}
y\neq 0
Solve for y
y=-\frac{1}{3x}
x\neq 0
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y\times 3x=-1
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3x.
3xy=-1
Reorder the terms.
3yx=-1
The equation is in standard form.
\frac{3yx}{3y}=-\frac{1}{3y}
Divide both sides by 3y.
x=-\frac{1}{3y}
Dividing by 3y undoes the multiplication by 3y.
x=-\frac{1}{3y}\text{, }x\neq 0
Variable x cannot be equal to 0.
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