Solve for w
\left\{\begin{matrix}w=-\frac{1-y}{5x}\text{, }&x\neq 0\\w\in \mathrm{R}\text{, }&y=1\text{ and }x=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=-\frac{1-y}{5w}\text{, }&w\neq 0\\x\in \mathrm{R}\text{, }&y=1\text{ and }w=0\end{matrix}\right.
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5wx+1=y
Swap sides so that all variable terms are on the left hand side.
5wx=y-1
Subtract 1 from both sides.
5xw=y-1
The equation is in standard form.
\frac{5xw}{5x}=\frac{y-1}{5x}
Divide both sides by 5x.
w=\frac{y-1}{5x}
Dividing by 5x undoes the multiplication by 5x.
5wx+1=y
Swap sides so that all variable terms are on the left hand side.
5wx=y-1
Subtract 1 from both sides.
\frac{5wx}{5w}=\frac{y-1}{5w}
Divide both sides by 5w.
x=\frac{y-1}{5w}
Dividing by 5w undoes the multiplication by 5w.
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