Solve for g (complex solution)
\left\{\begin{matrix}g=-\frac{b-y}{x}\text{, }&x\neq 0\\g\in \mathrm{C}\text{, }&y=b\text{ and }x=0\end{matrix}\right.
Solve for b
b=y-gx
Solve for g
\left\{\begin{matrix}g=-\frac{b-y}{x}\text{, }&x\neq 0\\g\in \mathrm{R}\text{, }&y=b\text{ and }x=0\end{matrix}\right.
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gx+b=y
Swap sides so that all variable terms are on the left hand side.
gx=y-b
Subtract b from both sides.
xg=y-b
The equation is in standard form.
\frac{xg}{x}=\frac{y-b}{x}
Divide both sides by x.
g=\frac{y-b}{x}
Dividing by x undoes the multiplication by x.
gx+b=y
Swap sides so that all variable terms are on the left hand side.
b=y-gx
Subtract gx from both sides.
gx+b=y
Swap sides so that all variable terms are on the left hand side.
gx=y-b
Subtract b from both sides.
xg=y-b
The equation is in standard form.
\frac{xg}{x}=\frac{y-b}{x}
Divide both sides by x.
g=\frac{y-b}{x}
Dividing by x undoes the multiplication by x.
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