For Exercise, solve the system. If the system does not have one unique solution, also state whether the system is inconsistent or whether the equations are dependent. a + 6b + Зс %3 - 14 2a + b– 2c = -8 |- 3a + 2b + c = -8

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
Problem 13P
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For Exercise, solve the system. If the system does not have one unique solution, also state whether the system is
inconsistent or whether the equations are dependent.
a + 6b + Зс %3 - 14
2a + b– 2c = -8
|- 3a + 2b + c = -8
Transcribed Image Text:For Exercise, solve the system. If the system does not have one unique solution, also state whether the system is inconsistent or whether the equations are dependent. a + 6b + Зс %3 - 14 2a + b– 2c = -8 |- 3a + 2b + c = -8
Expert Solution
Step 1

Since, 

Algebra homework question answer, step 1, image 1

So, the system of equation is inconsistent. This implies that the system has one unique solution.

Step 2

Let's find out the inverse of A matrix:

Algebra homework question answer, step 2, image 1

Algebra homework question answer, step 2, image 2

 

steps

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