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: 15

Answer

$$p=2,\:q=-2,\:r=1$$

Work Step by Step

Solving the system of equations using Matrices, we find: $$ \begin{bmatrix}1&-2&-3&¦&3\\ 2&-1&-2&¦&4\\ 4&5&6&¦&4\end{bmatrix}\\ \begin{bmatrix}1&0&0&¦&2\\ 0&1&0&¦&-2\\ 0&0&1&¦&1\end{bmatrix}\\ p=2,\:q=-2,\:r=1$$
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