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: 39

Answer

$(16, -12)$

Work Step by Step

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 -2, and we multiply the bottom equation by 1. Then, we add the two equations to obtain: $ x + .75x = 28 \\ 1.75x = 28 \\ x =16 $ We plug in the given value into the top equation and solve for the other variable: $ .5(16) - 1/3 y = 12 \\ -1/3 y = 4 \\ y = -12$
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