Algebra 1: Common Core (15th Edition)

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

Chapter 6 - Systems of Equations and Inequalities - 6-1 Solving Systems by Graphing - Got It? - Page 366: 3

Answer

The store rents 5 new games.

Work Step by Step

Write the system of equations. Let x = the number of new games, and let y = the number of older games. $x+y=6$ $4x+2y=22$ Use the first equation to solve for $y$: $x+y=6$ $y=6-x$ Substitute $y=6-x$ for y in the second equation. $4x+2(6-x)=22$ $4x+12-2x=22$ $2x=10$ $x=5$ Solve for $y$: $x+y=6$ $5+y=6$ $y=1$ The system’s solution is $(5,1)$. The store rents 5 new games.
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