Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 8 - Coordinate Geometry and Linear Systems - 8.6 - Elimination-by-Addition Method - Problem Set 8.6 - Page 378: 49


40 double rooms and 15 single rooms were rented

Work Step by Step

We call x the number of single rooms and y the number of double rooms. Thus, we obtain: $ x + y = 55 $ And $ 62x +82y = 4210$ In order to solve this problem, we multiply one or both of the equations by a value that will make one of the variables cancel. We multiply the top equation by -62, and we multiply the bottom equation by 1. Then, we add the two equations to obtain: $20y = 800 \\ y = 40 $ We plug in the given value into the top equation and solve for the other variable: $ x + 40 = 55 \\ x =15$
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