   Chapter 11.CR, Problem 8E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# 7 − 12 Gaussian Elimination Use Gaussian Elimination to find the complete solution of the system, or show that no solution exists. { x − y + z = 2 x + y + 3 z = 6 2 y + 3 z = 5

To determine

To find:

The complete solution of the system of equations,

xy+z=2x+y+3z=62y+3z=5.

Explanation

Approach:

1. Write the Augmented Matrix

2. Convert into Row-Echelon Form

3. Use the Back-Substitution

Calculation:

Augmented Matrix: 

Apply Row Operation,

R2R2R1 

R212R2 

R3R32R2 [1112011<

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