Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 9 - Systems and Matrices - Summary Exercises on Systems of Equations - Exercises - Page 907: 5

Answer

$\{(-\frac{1}{2},-8), (\frac{4}{3},3)\}$

Work Step by Step

1. From the first equation, we have $y=6x-5$ 2. Use substitution, the second equation becomes $x(6x-5)=4$ or $6x^2-5x-4=0$ 3. Factor the equation to get $(2x+1)(3x-4)=0$, thus $x=-\frac{1}{2}, \frac{4}{3}$ 4. Plug the results in the first equation to get $y=-8, 3$ 5. Thus the solution set is $\{(-\frac{1}{2},-8), (\frac{4}{3},3)\}$
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