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: 42

Answer

$(.25, -1/6)$

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 1, and we multiply the bottom equation by -2. Then, we add the two equations to obtain: $ \frac{y}{3} -5y = 56/72 \\ y = -1/6 $ We plug in the given value into the top equation and solve for the other variable: $ .5x + (1/3)(-1/6) = 5/72 \\ .5x = 9/72 \\ x = .25 $
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