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: 33

Answer

$m=\frac{7}{3}$

Work Step by Step

We start with the given equation: $\frac{2}{3}+\frac{3m}{5}=\frac{31}{15}$ We multiply by the least common denominator: $15(\frac{2}{3}+\frac{3m}{5}=\frac{31}{15})$ $10+9m=31$ We subtract $10$ from each side of the equation: $10-10+9m=31-10$ We combine like terms: $9m=21$ Finally, we divide by $9$ on each side of the equation: $m=\frac{21}{9}$ This fraction can be reduced to $m=\frac{7}{3}$
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