Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 11 - Systems of Equations and Inequalities - 11.1 Systems of Linear Equations: Substitution and Elimination - 11.1 Assess Your Understanding - Page 715: 24



Work Step by Step

We are given the system of equations: $\begin{cases} 4x+5y=-3\\ -2y=-8 \end{cases}$ Determine $y$ from the second equation: $-2y=-8$ $y=\dfrac{-8}{-2}$ $y=4$ Determine $x$ using the first equation: $4x+5y=-3$ $4x+5(4)=-3$ $4x+20=-3$ $4x=-23$ $x=-\dfrac{23}{4}$ The solution set of the system is: $\left\{\left(-\dfrac{23}{4},4\right)\right\}$
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