Solve for a (complex solution)
\left\{\begin{matrix}a=-\frac{by-m}{x}\text{, }&x\neq 0\\a\in \mathrm{C}\text{, }&m=by\text{ and }x=0\end{matrix}\right.
Solve for b (complex solution)
\left\{\begin{matrix}b=-\frac{ax-m}{y}\text{, }&y\neq 0\\b\in \mathrm{C}\text{, }&m=ax\text{ and }y=0\end{matrix}\right.
Solve for a
\left\{\begin{matrix}a=-\frac{by-m}{x}\text{, }&x\neq 0\\a\in \mathrm{R}\text{, }&m=by\text{ and }x=0\end{matrix}\right.
Solve for b
\left\{\begin{matrix}b=-\frac{ax-m}{y}\text{, }&y\neq 0\\b\in \mathrm{R}\text{, }&m=ax\text{ and }y=0\end{matrix}\right.
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ax=m-by
Subtract by from both sides.
xa=m-by
The equation is in standard form.
\frac{xa}{x}=\frac{m-by}{x}
Divide both sides by x.
a=\frac{m-by}{x}
Dividing by x undoes the multiplication by x.
by=m-ax
Subtract ax from both sides.
yb=m-ax
The equation is in standard form.
\frac{yb}{y}=\frac{m-ax}{y}
Divide both sides by y.
b=\frac{m-ax}{y}
Dividing by y undoes the multiplication by y.
ax=m-by
Subtract by from both sides.
xa=m-by
The equation is in standard form.
\frac{xa}{x}=\frac{m-by}{x}
Divide both sides by x.
a=\frac{m-by}{x}
Dividing by x undoes the multiplication by x.
by=m-ax
Subtract ax from both sides.
yb=m-ax
The equation is in standard form.
\frac{yb}{y}=\frac{m-ax}{y}
Divide both sides by y.
b=\frac{m-ax}{y}
Dividing by y undoes the multiplication by y.
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