College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 5, Systems of Equations and Inequalities - Section 5.1 - Systems of Linear Equations in Two Variations - 5.1 Exercises - Page 447: 46

Answer

x=5; y=21

Work Step by Step

Multiplying the first equation by 1/2 and the second equation by -1/3 gives: $\frac{3}{4}x-\frac{1}{6}y=\frac{1}{4}$ $\frac{-2}{3}x+\frac{1}{6}y=\frac{1}{6}$ Adding two equations: $\frac{1}{12}x=\frac{5}{12} \Rightarrow x=5$ Solve for y: $2(5)-\frac{1}{2}y=\frac{-1}{2} \Rightarrow y=21 $
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