Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 4 - Section 4.1 - Solving Systems of Linear Equations in Two Variables - Exercise Set - Page 212: 39

Answer

Ordered Pair Solution $$(-5,3)$$

Work Step by Step

We have $$(1)\frac{1}{3}x+y=\frac{4}{3}$$ $$(2)-\frac{1}{4}x -\frac{1}{2}y = -\frac{1}{4}$$ (1) + 2(2) $$\frac{1}{3}x -\frac{1}{2}x+y -y=\frac{4}{3} -\frac{1}{2}$$ $$-\frac{1}{6}x = \frac{5}{6}$$ $$x=-5$$ Solving for $y$ $$y = \frac{4}{3} - \frac{1}{3}*(-5) = 3$$ Ordered Pair Solution $$(-5,3)$$
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