Question

$$bg+by=+b$$

Solve for b (complex solution)

$\left\{\begin{matrix}\\b=0\text{, }&\text{unconditionally}\\b\in \mathrm{C}\text{, }&g=1-y\end{matrix}\right.$

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Solve for g (complex solution)

$\left\{\begin{matrix}\\g=1-y\text{, }&\text{unconditionally}\\g\in \mathrm{C}\text{, }&b=0\end{matrix}\right.$

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Solve for b

$\left\{\begin{matrix}\\b=0\text{, }&\text{unconditionally}\\b\in \mathrm{R}\text{, }&g=1-y\end{matrix}\right.$

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Solve for g

$\left\{\begin{matrix}\\g=1-y\text{, }&\text{unconditionally}\\g\in \mathrm{R}\text{, }&b=0\end{matrix}\right.$

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