Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 2 - Solving Equations - 2-3 Solving Multi-Step Equations - Practice and Problem-Solving Exercises - Page 98: 33

Answer

$m=21/9$

Work Step by Step

We start by creating a common denominator for all of the fractions: $\frac{10}{15}+\frac{9m}{15}=\frac{31}{15}$ We now can combine the denominators on the same side of the equation: $\frac{10+9m}{15}=\frac{31}{15}$ We then multiply both sides by 15 to find: $10+9m=31$ We subtract 10 and divide by 9 to obtain that $m=21/9$. We plug 21/9 in for m and confirm that our answer is, indeed, correct.
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