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