College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 5 - Systems of Equations and Inequalities - Exercise Set 5.3 - Page 551: 66

Answer

Solution: $(\frac{5}{2}, -2)$

Work Step by Step

$$y = 2x -7$$ $$4x + 3y = 4$$ Since we already have the variable $y$ isolated: $$4x + 3(2x - 7) = 4$$ $$4x + 6x - 21 = 4$$ $$10x = 25$$ $$x = \frac{5}{2}$$ Plugging this value into the other equation: $$y = 2x - 7$$ $$y = 2(\frac{5}{2}) - 7$$ $$y = 5 - 7 = -2$$
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