Solve for B
\left\{\begin{matrix}\\B=0\text{, }&\text{unconditionally}\\B\in \mathrm{R}\text{, }&G=Nk\end{matrix}\right.
Solve for G
\left\{\begin{matrix}\\G=Nk\text{, }&\text{unconditionally}\\G\in \mathrm{R}\text{, }&B=0\end{matrix}\right.
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1GB-NkB=0
Subtract NkB from both sides.
BG-BNk=0
Reorder the terms.
\left(G-Nk\right)B=0
Combine all terms containing B.
B=0
Divide 0 by G-Nk.
BG=BNk
Reorder the terms.
\frac{BG}{B}=\frac{BNk}{B}
Divide both sides by B.
G=\frac{BNk}{B}
Dividing by B undoes the multiplication by B.
G=Nk
Divide NkB by B.
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