Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 2 - Solving Equations - 2-3 Solving Multi-Step Equations - Practice and Problem-Solving Exercises: 35

Answer

$b=\frac{453}{8}$

Work Step by Step

We start with the given equation: $\frac{b}{3}+\frac{1}{8}=\frac{19}{1}$ We multiply by the least common denominator, 24: $24(\frac{b}{3}+\frac{1}{8}=\frac{19}{1})$ We apply the distributive property: $8b+3=456$ We subtract $3$ on each side of the equation: $8b+3-3=456-3$ We combine like terms: $8b=453$ Finally, we divide by $8$ on each side of the equation: $b=\frac{453}{8}$
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