Solve for x
x=\frac{1}{y+5}
y\neq -5
Solve for y
y=-5+\frac{1}{x}
x\neq 0
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yx=1-5x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
yx+5x=1
Add 5x to both sides.
\left(y+5\right)x=1
Combine all terms containing x.
\frac{\left(y+5\right)x}{y+5}=\frac{1}{y+5}
Divide both sides by y+5.
x=\frac{1}{y+5}
Dividing by y+5 undoes the multiplication by y+5.
x=\frac{1}{y+5}\text{, }x\neq 0
Variable x cannot be equal to 0.
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