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: 53

Answer

$1.59

Work Step by Step

We call x the cost per package of cookies and y the cost per package of chips. Thus, we obtain: $ 3x+2y = 7.35 $ And $ 2x+5y = 9.63$ 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 -5, and we multiply the bottom equation by 2. Then, we add the two equations to obtain: $ -15x +4x = -17.49 \\ x = 1.59$
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