Solve for P
P=-\frac{Q}{Q-1}
Q\neq 1
Solve for Q
Q=\frac{P}{P+1}
P\neq -1
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PQ-P=-Q
Subtract P from both sides.
\left(Q-1\right)P=-Q
Combine all terms containing P.
\frac{\left(Q-1\right)P}{Q-1}=-\frac{Q}{Q-1}
Divide both sides by Q-1.
P=-\frac{Q}{Q-1}
Dividing by Q-1 undoes the multiplication by Q-1.
PQ+Q=P
Add Q to both sides.
\left(P+1\right)Q=P
Combine all terms containing Q.
\frac{\left(P+1\right)Q}{P+1}=\frac{P}{P+1}
Divide both sides by P+1.
Q=\frac{P}{P+1}
Dividing by P+1 undoes the multiplication by P+1.
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