Solve for f (complex solution)
\left\{\begin{matrix}f=-\frac{c-y}{x}\text{, }&x\neq 0\\f\in \mathrm{C}\text{, }&y=c\text{ and }x=0\end{matrix}\right.
Solve for c
c=y-fx
Solve for f
\left\{\begin{matrix}f=-\frac{c-y}{x}\text{, }&x\neq 0\\f\in \mathrm{R}\text{, }&y=c\text{ and }x=0\end{matrix}\right.
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fx+c=y
Swap sides so that all variable terms are on the left hand side.
fx=y-c
Subtract c from both sides.
xf=y-c
The equation is in standard form.
\frac{xf}{x}=\frac{y-c}{x}
Divide both sides by x.
f=\frac{y-c}{x}
Dividing by x undoes the multiplication by x.
fx+c=y
Swap sides so that all variable terms are on the left hand side.
c=y-fx
Subtract fx from both sides.
fx+c=y
Swap sides so that all variable terms are on the left hand side.
fx=y-c
Subtract c from both sides.
xf=y-c
The equation is in standard form.
\frac{xf}{x}=\frac{y-c}{x}
Divide both sides by x.
f=\frac{y-c}{x}
Dividing by x undoes the multiplication by x.
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