Solve for m (complex solution)
\left\{\begin{matrix}m=-\frac{b-2}{s}\text{, }&s\neq 0\\m\in \mathrm{C}\text{, }&b=2\text{ and }s=0\end{matrix}\right.
Solve for b
b=2-ms
Solve for m
\left\{\begin{matrix}m=-\frac{b-2}{s}\text{, }&s\neq 0\\m\in \mathrm{R}\text{, }&b=2\text{ and }s=0\end{matrix}\right.
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ms+b=2
Swap sides so that all variable terms are on the left hand side.
ms=2-b
Subtract b from both sides.
sm=2-b
The equation is in standard form.
\frac{sm}{s}=\frac{2-b}{s}
Divide both sides by s.
m=\frac{2-b}{s}
Dividing by s undoes the multiplication by s.
ms+b=2
Swap sides so that all variable terms are on the left hand side.
b=2-ms
Subtract ms from both sides.
ms+b=2
Swap sides so that all variable terms are on the left hand side.
ms=2-b
Subtract b from both sides.
sm=2-b
The equation is in standard form.
\frac{sm}{s}=\frac{2-b}{s}
Divide both sides by s.
m=\frac{2-b}{s}
Dividing by s undoes the multiplication by s.
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