Solve for g (complex solution)
\left\{\begin{matrix}g=-\frac{2x+y-2600}{750r}\text{, }&r\neq 0\\g\in \mathrm{C}\text{, }&x=-\frac{y}{2}+1300\text{ and }r=0\end{matrix}\right.
Solve for r (complex solution)
\left\{\begin{matrix}r=-\frac{2x+y-2600}{750g}\text{, }&g\neq 0\\r\in \mathrm{C}\text{, }&x=-\frac{y}{2}+1300\text{ and }g=0\end{matrix}\right.
Solve for g
\left\{\begin{matrix}g=-\frac{2x+y-2600}{750r}\text{, }&r\neq 0\\g\in \mathrm{R}\text{, }&x=-\frac{y}{2}+1300\text{ and }r=0\end{matrix}\right.
Solve for r
\left\{\begin{matrix}r=-\frac{2x+y-2600}{750g}\text{, }&g\neq 0\\r\in \mathrm{R}\text{, }&x=-\frac{y}{2}+1300\text{ and }g=0\end{matrix}\right.
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750gr+y=2600-2x
Subtract 2x from both sides.
750gr=2600-2x-y
Subtract y from both sides.
750rg=2600-y-2x
The equation is in standard form.
\frac{750rg}{750r}=\frac{2600-y-2x}{750r}
Divide both sides by 750r.
g=\frac{2600-y-2x}{750r}
Dividing by 750r undoes the multiplication by 750r.
750gr+y=2600-2x
Subtract 2x from both sides.
750gr=2600-2x-y
Subtract y from both sides.
750gr=2600-y-2x
The equation is in standard form.
\frac{750gr}{750g}=\frac{2600-y-2x}{750g}
Divide both sides by 750g.
r=\frac{2600-y-2x}{750g}
Dividing by 750g undoes the multiplication by 750g.
750gr+y=2600-2x
Subtract 2x from both sides.
750gr=2600-2x-y
Subtract y from both sides.
750rg=2600-y-2x
The equation is in standard form.
\frac{750rg}{750r}=\frac{2600-y-2x}{750r}
Divide both sides by 750r.
g=\frac{2600-y-2x}{750r}
Dividing by 750r undoes the multiplication by 750r.
750gr+y=2600-2x
Subtract 2x from both sides.
750gr=2600-2x-y
Subtract y from both sides.
750gr=2600-y-2x
The equation is in standard form.
\frac{750gr}{750g}=\frac{2600-y-2x}{750g}
Divide both sides by 750g.
r=\frac{2600-y-2x}{750g}
Dividing by 750g undoes the multiplication by 750g.
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