High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
15th Edition
ISBN: 9780133281163
Author: Prentice Hall
Publisher: Prentice Hall
Expert Solution & Answer
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Chapter 3.1, Problem 4LC
Solution

To State: The possibility of system of equations being both independent and inconsistent. Give an explanation.

No, the possibility of system of equations being both independent and inconsistent is not possible.

Given information:

State the possibility of system of equations being both independent and inconsistent.

Explanation:

There is only one solution for an independent system, whereas there are infinitely many solutions for an inconsistent system.

The example of a system that has infinitely many solutions which cannot be independent is shown below.

Consider the following system of equations

  x+3y=616y+2x=122

Graph the equations:

  High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11, Chapter 3.1, Problem 4LC

It can be seen from the graph that the lines x+3y=6 and 6y+2x=12 coincides. So, the given system has infinitely many solutions.

Thus, the possibility of system of equations being both independent and inconsistent is not possible.

Chapter 3 Solutions

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

Ch. 3.1 - Prob. 11PPSECh. 3.1 - Prob. 12PPSECh. 3.1 - Prob. 13PPSECh. 3.1 - Prob. 14PPSECh. 3.1 - Prob. 15PPSECh. 3.1 - Prob. 16PPSECh. 3.1 - Prob. 17PPSECh. 3.1 - Prob. 18PPSECh. 3.1 - Prob. 19PPSECh. 3.1 - Prob. 20PPSECh. 3.1 - Prob. 21PPSECh. 3.1 - Prob. 22PPSECh. 3.1 - Prob. 23PPSECh. 3.1 - Prob. 24PPSECh. 3.1 - Prob. 25PPSECh. 3.1 - Prob. 26PPSECh. 3.1 - Prob. 27PPSECh. 3.1 - Prob. 28PPSECh. 3.1 - Prob. 29PPSECh. 3.1 - Prob. 30PPSECh. 3.1 - Prob. 31PPSECh. 3.1 - Prob. 32PPSECh. 3.1 - Prob. 33PPSECh. 3.1 - Prob. 34PPSECh. 3.1 - Prob. 35PPSECh. 3.1 - Prob. 36PPSECh. 3.1 - Prob. 37PPSECh. 3.1 - Prob. 38PPSECh. 3.1 - Prob. 39PPSECh. 3.1 - Prob. 40PPSECh. 3.1 - Prob. 41PPSECh. 3.1 - Prob. 42PPSECh. 3.1 - Prob. 43PPSECh. 3.1 - Prob. 44PPSECh. 3.1 - Prob. 45PPSECh. 3.1 - Prob. 46PPSECh. 3.1 - Prob. 47PPSECh. 3.1 - Prob. 48PPSECh. 3.1 - Prob. 49PPSECh. 3.1 - Prob. 50PPSECh. 3.1 - Prob. 51PPSECh. 3.1 - Prob. 52PPSECh. 3.1 - Prob. 53PPSECh. 3.1 - Prob. 54PPSECh. 3.1 - Prob. 55PPSECh. 3.1 - 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Prob. 69PPSECh. 3.3 - Prob. 70PPSECh. 3.3 - Prob. 71PPSECh. 3.3 - Prob. 72PPSECh. 3.4 - Prob. 1LCCh. 3.4 - Prob. 2LCCh. 3.4 - Prob. 3LCCh. 3.4 - Prob. 4LCCh. 3.4 - Prob. 5LCCh. 3.4 - Prob. 6LCCh. 3.4 - Prob. 7LCCh. 3.4 - Prob. 8LCCh. 3.4 - Prob. 9LCCh. 3.4 - Prob. 10PPSECh. 3.4 - Prob. 11PPSECh. 3.4 - Prob. 12PPSECh. 3.4 - Prob. 13PPSECh. 3.4 - Prob. 14PPSECh. 3.4 - Prob. 15PPSECh. 3.4 - Prob. 16PPSECh. 3.4 - Prob. 17PPSECh. 3.4 - Prob. 18PPSECh. 3.4 - Prob. 19PPSECh. 3.4 - Prob. 20PPSECh. 3.4 - Prob. 21PPSECh. 3.4 - Prob. 22PPSECh. 3.4 - Prob. 23PPSECh. 3.4 - Prob. 24PPSECh. 3.4 - Prob. 25PPSECh. 3.4 - Prob. 26PPSECh. 3.4 - Prob. 27PPSECh. 3.4 - Prob. 28PPSECh. 3.4 - Prob. 29PPSECh. 3.4 - Prob. 30PPSECh. 3.4 - Prob. 31PPSECh. 3.4 - Prob. 32PPSECh. 3.4 - Prob. 33PPSECh. 3.4 - Prob. 34PPSECh. 3.4 - Prob. 35PPSECh. 3.4 - Prob. 36PPSECh. 3.4 - Prob. 37PPSECh. 3.4 - Prob. 1ECh. 3.4 - Prob. 2ECh. 3.4 - Prob. 3ECh. 3.4 - Prob. 4ECh. 3.5 - Prob. 1ACh. 3.5 - Prob. 2ACh. 3.5 - Prob. 3ACh. 3.5 - Prob. 4ACh. 3.5 - Prob. 5ACh. 3.5 - Prob. 6ACh. 3.5 - Prob. 7ACh. 3.5 - Prob. 8ACh. 3.5 - Prob. 9ACh. 3.5 - Prob. 10ACh. 3.5 - Prob. 11ACh. 3.5 - Prob. 12ECh. 3.5 - Prob. 13ECh. 3.5 - Prob. 14ECh. 3.5 - Prob. 15ECh. 3.5 - Prob. 16ECh. 3.5 - Prob. 17ECh. 3.5 - Prob. 18ECh. 3.5 - Prob. 19ECh. 3.5 - Prob. 20ECh. 3.5 - Prob. 21ECh. 3.5 - Prob. 22ECh. 3.5 - Prob. 23ECh. 3.5 - Prob. 1LCCh. 3.5 - Prob. 2LCCh. 3.5 - Prob. 3LCCh. 3.5 - Prob. 4LCCh. 3.5 - Prob. 5LCCh. 3.5 - Prob. 6LCCh. 3.5 - Prob. 7LCCh. 3.5 - Prob. 8LCCh. 3.5 - Prob. 9PPSECh. 3.5 - Prob. 10PPSECh. 3.5 - Prob. 11PPSECh. 3.5 - Prob. 12PPSECh. 3.5 - Prob. 13PPSECh. 3.5 - Prob. 14PPSECh. 3.5 - Prob. 15PPSECh. 3.5 - Prob. 16PPSECh. 3.5 - Prob. 17PPSECh. 3.5 - Prob. 18PPSECh. 3.5 - Prob. 19PPSECh. 3.5 - Prob. 20PPSECh. 3.5 - Prob. 21PPSECh. 3.5 - Prob. 22PPSECh. 3.5 - Prob. 23PPSECh. 3.5 - Prob. 24PPSECh. 3.5 - Prob. 25PPSECh. 3.5 - Prob. 26PPSECh. 3.5 - Prob. 27PPSECh. 3.5 - Prob. 28PPSECh. 3.5 - Prob. 29PPSECh. 3.5 - Prob. 30PPSECh. 3.5 - Prob. 31PPSECh. 3.5 - Prob. 32PPSECh. 3.5 - Prob. 33PPSECh. 3.5 - Prob. 34PPSECh. 3.5 - Prob. 35PPSECh. 3.5 - Prob. 36PPSECh. 3.5 - Prob. 37PPSECh. 3.5 - Prob. 38PPSECh. 3.5 - Prob. 39PPSECh. 3.5 - Prob. 40PPSECh. 3.5 - Prob. 41PPSECh. 3.5 - Prob. 42PPSECh. 3.5 - Prob. 43PPSECh. 3.5 - Prob. 44PPSECh. 3.5 - Prob. 45PPSECh. 3.6 - Prob. 1LCCh. 3.6 - Prob. 2LCCh. 3.6 - Prob. 3LCCh. 3.6 - Prob. 4LCCh. 3.6 - Prob. 5LCCh. 3.6 - Prob. 6LCCh. 3.6 - Prob. 7LCCh. 3.6 - Prob. 8PPSECh. 3.6 - Prob. 9PPSECh. 3.6 - Prob. 10PPSECh. 3.6 - Prob. 11PPSECh. 3.6 - Prob. 12PPSECh. 3.6 - Prob. 13PPSECh. 3.6 - Prob. 14PPSECh. 3.6 - Prob. 15PPSECh. 3.6 - Prob. 16PPSECh. 3.6 - Prob. 17PPSECh. 3.6 - Prob. 18PPSECh. 3.6 - Prob. 19PPSECh. 3.6 - Prob. 20PPSECh. 3.6 - Prob. 21PPSECh. 3.6 - Prob. 22PPSECh. 3.6 - Prob. 23PPSECh. 3.6 - Prob. 24PPSECh. 3.6 - Prob. 25PPSECh. 3.6 - Prob. 26PPSECh. 3.6 - Prob. 27PPSECh. 3.6 - Prob. 28PPSECh. 3.6 - Prob. 29PPSECh. 3.6 - Prob. 30PPSECh. 3.6 - Prob. 31PPSECh. 3.6 - Prob. 32PPSECh. 3.6 - Prob. 33PPSECh. 3.6 - Prob. 34PPSECh. 3.6 - Prob. 35PPSECh. 3.6 - Prob. 36PPSECh. 3.6 - Prob. 37PPSECh. 3.6 - Prob. 38PPSECh. 3.6 - Prob. 39PPSECh. 3.6 - Prob. 40PPSECh. 3.6 - Prob. 41PPSECh. 3.6 - Prob. 42PPSECh. 3.6 - Prob. 43PPSECh. 3.6 - Prob. 44PPSECh. 3.6 - Prob. 45PPSECh. 3.6 - Prob. 46PPSECh. 3.6 - Prob. 47PPSECh. 3.6 - Prob. 48PPSECh. 3.6 - Prob. 49PPSECh. 3.6 - Prob. 50PPSECh. 3.6 - Prob. 51PPSECh. 3.6 - Prob. 52PPSECh. 3.6 - Prob. 53PPSECh. 3.6 - Prob. 54PPSECh. 3.6 - Prob. 55PPSECh. 3.6 - Prob. 56PPSECh. 3.6 - Prob. 57PPSECh. 3.6 - Prob. 58PPSECh. 3 - Prob. 1GRCh. 3 - Prob. 2GRCh. 3 - Prob. 3GRCh. 3 - Prob. 4GRCh. 3 - Prob. 5GRCh. 3 - Prob. 6GRCh. 3 - Prob. 7GRCh. 3 - Prob. 8GRCh. 3 - Prob. 9GRCh. 3 - Prob. 10GRCh. 3 - Prob. 11GRCh. 3 - Prob. 12GRCh. 3 - Prob. 13GRCh. 3 - Prob. 14GRCh. 3 - Prob. 15GRCh. 3 - Prob. 16GRCh. 3 - Prob. 17GRCh. 3 - Prob. 18GRCh. 3 - Prob. 19GRCh. 3 - Prob. 20GRCh. 3 - Prob. 21GRCh. 3 - Prob. 22GRCh. 3 - Prob. 23GRCh. 3 - Prob. 1MCQCh. 3 - Prob. 2MCQCh. 3 - Prob. 3MCQCh. 3 - Prob. 4MCQCh. 3 - Prob. 5MCQCh. 3 - Prob. 6MCQCh. 3 - Prob. 7MCQCh. 3 - Prob. 8MCQCh. 3 - Prob. 9MCQCh. 3 - Prob. 10MCQCh. 3 - Prob. 11MCQCh. 3 - Prob. 12MCQCh. 3 - Prob. 13MCQCh. 3 - Prob. 14MCQCh. 3 - Prob. 15MCQCh. 3 - Prob. 16MCQCh. 3 - Prob. 17MCQCh. 3 - Prob. 18MCQCh. 3 - Prob. 1CVCh. 3 - Prob. 2CVCh. 3 - Prob. 3ECh. 3 - Prob. 4ECh. 3 - Prob. 5ECh. 3 - Prob. 6ECh. 3 - Prob. 7ECh. 3 - Prob. 8ECh. 3 - Prob. 9ECh. 3 - Prob. 10ECh. 3 - Prob. 11ECh. 3 - Prob. 12ECh. 3 - Prob. 13ECh. 3 - Prob. 14ECh. 3 - Prob. 15ECh. 3 - Prob. 16ECh. 3 - Prob. 17ECh. 3 - Prob. 18ECh. 3 - Prob. 19ECh. 3 - Prob. 20ECh. 3 - Prob. 21ECh. 3 - Prob. 22ECh. 3 - Prob. 23ECh. 3 - Prob. 24ECh. 3 - Prob. 25ECh. 3 - Prob. 26ECh. 3 - Prob. 27ECh. 3 - Prob. 28ECh. 3 - Prob. 29ECh. 3 - Prob. 30ECh. 3 - Prob. 1CTCh. 3 - Prob. 2CTCh. 3 - Prob. 3CTCh. 3 - Prob. 4CTCh. 3 - Prob. 5CTCh. 3 - Prob. 6CTCh. 3 - Prob. 7CTCh. 3 - Prob. 8CTCh. 3 - Prob. 9CTCh. 3 - Prob. 10CTCh. 3 - Prob. 11CTCh. 3 - Prob. 12CTCh. 3 - Prob. 13CTCh. 3 - Prob. 14CTCh. 3 - Prob. 15CTCh. 3 - Prob. 1CCSRCh. 3 - Prob. 2CCSRCh. 3 - Prob. 3CCSRCh. 3 - Prob. 4CCSRCh. 3 - Prob. 5CCSRCh. 3 - Prob. 6CCSRCh. 3 - Prob. 7CCSRCh. 3 - Prob. 8CCSRCh. 3 - Prob. 9CCSRCh. 3 - Prob. 10CCSRCh. 3 - Prob. 11CCSRCh. 3 - Prob. 12CCSRCh. 3 - Prob. 13CCSRCh. 3 - Prob. 14CCSRCh. 3 - Prob. 15CCSRCh. 3 - Prob. 16CCSRCh. 3 - Prob. 17CCSRCh. 3 - Prob. 18CCSRCh. 3 - Prob. 19CCSRCh. 3 - Prob. 20CCSRCh. 3 - Prob. 21CCSRCh. 3 - Prob. 22CCSRCh. 3 - Prob. 23CCSR
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