Solve for x
x=-1+\frac{4}{y}
y\neq 0
Solve for y
y=\frac{4}{x+1}
x\neq -1
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xy+1=5-y
Subtract y from both sides.
xy=5-y-1
Subtract 1 from both sides.
xy=4-y
Subtract 1 from 5 to get 4.
yx=4-y
The equation is in standard form.
\frac{yx}{y}=\frac{4-y}{y}
Divide both sides by y.
x=\frac{4-y}{y}
Dividing by y undoes the multiplication by y.
x=-1+\frac{4}{y}
Divide 4-y by y.
xy+y=5-1
Subtract 1 from both sides.
xy+y=4
Subtract 1 from 5 to get 4.
\left(x+1\right)y=4
Combine all terms containing y.
\frac{\left(x+1\right)y}{x+1}=\frac{4}{x+1}
Divide both sides by x+1.
y=\frac{4}{x+1}
Dividing by x+1 undoes the multiplication by x+1.
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