Solve for k
\left\{\begin{matrix}\\k=-\frac{2}{21}\approx -0.095238095\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=-\frac{2}{21}\end{matrix}\right.
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\left(10\times 2+1\right)km=-2m
Multiply both sides of the equation by 2.
\left(20+1\right)km=-2m
Multiply 10 and 2 to get 20.
21km=-2m
Add 20 and 1 to get 21.
21mk=-2m
The equation is in standard form.
\frac{21mk}{21m}=-\frac{2m}{21m}
Divide both sides by 21m.
k=-\frac{2m}{21m}
Dividing by 21m undoes the multiplication by 21m.
k=-\frac{2}{21}
Divide -2m by 21m.
\left(10\times 2+1\right)km=-2m
Multiply both sides of the equation by 2.
\left(20+1\right)km=-2m
Multiply 10 and 2 to get 20.
21km=-2m
Add 20 and 1 to get 21.
21km+2m=0
Add 2m to both sides.
\left(21k+2\right)m=0
Combine all terms containing m.
m=0
Divide 0 by 2+21k.
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