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

by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.

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 - Test: Chapter 8 - Page 573: 14

Answer

$$x=\frac{22}{5},\:y=-\frac{28}{5}$$

Work Step by Step

Solving the equation using Matrices, we find: $$ \begin{bmatrix}4&1&¦&12\\ 3&2&¦&2\end{bmatrix}\\ \begin{bmatrix}1&0&¦&\frac{22}{5}\\ 0&1&¦&-\frac{28}{5}\end{bmatrix}\\ x=\frac{22}{5},\:y=-\frac{28}{5}$$

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