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