Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 4 - Section 4.4 - Systems of Linear Equations and Problem Solving - Exercise Set: 15

Answer

Ryan Howard batted 146 runs. Josh Hamilton batted 130 runs.

Work Step by Step

Let $x$ be the number of runs Ryan Howard batted. Let $y$ be the number of runs Josh Hamilton batted. Josh Hamilton had 16 fewer runs. $x=y+16$ Together, these two players brought home 276 runs: $x+y=276$. $x=y+16$ $x+y=276$. $x+y=276$ $(y+16)+y=276$ $2y+16=276$ $2y=260$ $y=130$ $x=y+16$ $x=(130)+16$ $x=146$ Ryan Howard batted 146 runs. Josh Hamilton batted 130 runs.
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