Solve for k
\left\{\begin{matrix}\\k=1000\text{, }&\text{unconditionally}\\k\in \mathrm{R}\text{, }&m=0\end{matrix}\right.
Solve for m
\left\{\begin{matrix}\\m=0\text{, }&\text{unconditionally}\\m\in \mathrm{R}\text{, }&k=1000\end{matrix}\right.
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km=1000m
Swap sides so that all variable terms are on the left hand side.
mk=1000m
The equation is in standard form.
\frac{mk}{m}=\frac{1000m}{m}
Divide both sides by m.
k=\frac{1000m}{m}
Dividing by m undoes the multiplication by m.
k=1000
Divide 1000m by m.
1000m-km=0
Subtract km from both sides.
\left(1000-k\right)m=0
Combine all terms containing m.
m=0
Divide 0 by 1000-k.
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