## Algebra and Trigonometry 10th Edition

Published by Cengage Learning

# Chapter 10 - 10.1 - Matrices and Systems of Equations - 10.1 Exercises - Page 711: 65

#### Answer

The system is inconsistent.

#### Work Step by Step

Gaussian Elimination: $\begin{bmatrix} -3 & 2 & |-22\\ 3 & 4 & |4\\ 4 & -8 & |32\\ \end{bmatrix}$ ~ $\begin{bmatrix} -3 & 2 & |-22\\ 0 & 6 & |-18\\ 1 & -2 & |8\\ \end{bmatrix}$ ~ $\begin{bmatrix} 1 & -2 & |8\\ 0 & 6 & |-18\\ -3 & 2 & |-22\\ \end{bmatrix}$ ~ $\begin{bmatrix} 1 & -2 & |8\\ 0 & 1 & |-3\\ 0 & -4 & |2\\ \end{bmatrix}$ Back-Substitution: y = -3 -4y = 2 y = $\frac{-1}{2}$ Since y has two different solutions, there is no solution to the system. The system is inconsistent.

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.