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: 23


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

Work Step by Step

To solve for $b$, we need to isolate $b$: 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 $a$ from each side: $$b = \frac{2A}{h} - a$$
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