Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 2 - Section 2.4 - Formulas and Percents - Exercise Set - Page 152: 24


$$a = \frac{2A}{h} - b$$

Work Step by Step

To solve for $a$, we need to isolate $a$: We first divide each side by $\frac{1}{2}$, which means we need to multiply by the inverse of $\frac{1}{2}$, which is $2$: $$2A = h(a + b)$$ We then divide each side by $h$: $$\frac{2A}{h} = a + b$$ We now subtract $b$ from each side: $$a = \frac{2A}{h} - b$$
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