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 - Got It? - Page 95: 1

Answer

1a. $m=6$ 1b. $y=3$

Work Step by Step

1a. $11m-8-6m=22$ Group like terms: $11m-6-8=22$ Add similar elements: $5m-8=22$ Add 8 to both sides: $5m-8+8=22+8$ Simplify: $5m=30$ Divide both sides by 5: $\frac{5m}{5}=\frac{30}{5}$ Simplify: $m=6$ 1b. $-2y+5+5y=14$ Group like terms: $-2y+5y+5=14$ Add similar elements: $3y+5=14$ Subtract 5 from both sides: $3y+5-5=14-5$ Simplify: $3y=9$ Divide both sides by 3: $\frac{3y}{3}=\frac{9}{3}$ Simplify: $y=3$
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