Solve for x
x=\frac{1}{5y}
y\neq 0
Solve for y
y=\frac{1}{5x}
x\neq 0
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5=25yx
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
25yx=5
Swap sides so that all variable terms are on the left hand side.
\frac{25yx}{25y}=\frac{5}{25y}
Divide both sides by 25y.
x=\frac{5}{25y}
Dividing by 25y undoes the multiplication by 25y.
x=\frac{1}{5y}
Divide 5 by 25y.
x=\frac{1}{5y}\text{, }x\neq 0
Variable x cannot be equal to 0.
5=25yx
Multiply both sides of the equation by x.
25yx=5
Swap sides so that all variable terms are on the left hand side.
25xy=5
The equation is in standard form.
\frac{25xy}{25x}=\frac{5}{25x}
Divide both sides by 25x.
y=\frac{5}{25x}
Dividing by 25x undoes the multiplication by 25x.
y=\frac{1}{5x}
Divide 5 by 25x.
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