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 - Lesson Check: 3

Answer

$m=2 $

Work Step by Step

We need a common denominator (bottom of the fraction) to add the numerators (tops of the fractions). Thus, we multiply $\frac{2m}{7}$ by $\frac{2}{2}$ to get $\frac{4m}{14}$. (This is legal because $\frac{2}{2}$ is equal to one). We then add to find that $\frac{7m}{14}$$=1$. We simplify the fraction to get that $m/2=1$. In order to cancel out division, we use multiplication, so we multiply both sides by 2 to get that $m=2$.
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