Solve for x
x=-5+\frac{100}{y}
y\neq 0
Solve for y
y=\frac{100}{x+5}
x\neq -5
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xy=100-5y
Subtract 5y from both sides.
yx=100-5y
The equation is in standard form.
\frac{yx}{y}=\frac{100-5y}{y}
Divide both sides by y.
x=\frac{100-5y}{y}
Dividing by y undoes the multiplication by y.
x=-5+\frac{100}{y}
Divide 100-5y by y.
\left(x+5\right)y=100
Combine all terms containing y.
\frac{\left(x+5\right)y}{x+5}=\frac{100}{x+5}
Divide both sides by x+5.
y=\frac{100}{x+5}
Dividing by x+5 undoes the multiplication by x+5.
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