Solve for S
\left\{\begin{matrix}S=-\frac{c}{P-1}\text{, }&c\neq 0\text{ and }P\neq 1\\S\neq 0\text{, }&P=1\text{ and }c=0\end{matrix}\right.
Solve for P
P=\frac{S-c}{S}
S\neq 0
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PS=S-c
Variable S cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by S.
PS-S=-c
Subtract S from both sides.
\left(P-1\right)S=-c
Combine all terms containing S.
\frac{\left(P-1\right)S}{P-1}=-\frac{c}{P-1}
Divide both sides by P-1.
S=-\frac{c}{P-1}
Dividing by P-1 undoes the multiplication by P-1.
S=-\frac{c}{P-1}\text{, }S\neq 0
Variable S cannot be equal to 0.
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