Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 8 - Systems of Linear Equations and Problem Solving - 8.6 Elimination Using Matrices - 8.6 Exercise Set - Page 551: 14

Answer

$$x=\frac{3}{2},\:y=-4,\:z=-3$$

Work Step by Step

Solving the system of equations using Matrices, we find: $$ \begin{bmatrix}4&-1&-3&¦&19\\ 8&1&-1&¦&11\\ 2&1&2&¦&-7\end{bmatrix}\\ \begin{bmatrix}1&0&0&¦&\frac{3}{2}\\ 0&1&0&¦&-4\\ 0&0&1&¦&-3\end{bmatrix}\\ x=\frac{3}{2},\:y=-4,\:z=-3$$
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