Solve for Q
Q=-\frac{P}{4}+25
Solve for P
P=100-4Q
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100-4Q=P
Swap sides so that all variable terms are on the left hand side.
-4Q=P-100
Subtract 100 from both sides.
\frac{-4Q}{-4}=\frac{P-100}{-4}
Divide both sides by -4.
Q=\frac{P-100}{-4}
Dividing by -4 undoes the multiplication by -4.
Q=-\frac{P}{4}+25
Divide P-100 by -4.
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