Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 6 - Section 6.7 - Formulas and Applications of Rational Equations - Exercise Set - Page 475: 4


$q=\displaystyle \frac{pf}{p-f}$

Work Step by Step

Get rid of fractions (multiply with LCD=pqf) $ qf+pf=pq\qquad$ ... add $-qf$ $ pf=pq-qf\qquad$ ... factor out q $ pf=q(p-f)\qquad$ ... divide with $(p-f)$ to isolate $q$ $\displaystyle \frac{pf}{p-f}=q$ $q=\displaystyle \frac{pf}{p-f}$
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