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

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 + 3 y = 6 → 1 6 y + 2 x = 12 → 2 Graph the equations: It can be seen from the graph that the lines x + 3 y = 6 and 6 y + 2 x = 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.

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 + 3 y = 6 → 1 6 y + 2 x = 12 → 2 Graph the equations: It can be seen from the graph that the lines x + 3 y = 6 and 6 y + 2 x = 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.

Solution Summary: The author states that the possibility of system of equations being both independent and inconsistent is not possible.

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

See similar textbooks

Expert Solution & Answer

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=6 →16y+2x=12 →2

Graph the equations:

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 3.1, Problem 3LC

Chapter 3.1, Problem 5LC

Chapter 3 Solutions

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

Ch. 3.1 - Prob. 1LC Ch. 3.1 - Prob. 2LC Ch. 3.1 - Prob. 3LC Ch. 3.1 - Prob. 4LC Ch. 3.1 - Prob. 5LC Ch. 3.1 - Prob. 6LC Ch. 3.1 - Prob. 7PPSE Ch. 3.1 - Prob. 8PPSE Ch. 3.1 - Prob. 9PPSE Ch. 3.1 - Prob. 10PPSE

Ch. 3.1 - Prob. 11PPSE Ch. 3.1 - Prob. 12PPSE Ch. 3.1 - Prob. 13PPSE Ch. 3.1 - Prob. 14PPSE Ch. 3.1 - Prob. 15PPSE Ch. 3.1 - Prob. 16PPSE Ch. 3.1 - Prob. 17PPSE Ch. 3.1 - Prob. 18PPSE Ch. 3.1 - Prob. 19PPSE Ch. 3.1 - Prob. 20PPSE Ch. 3.1 - Prob. 21PPSE Ch. 3.1 - Prob. 22PPSE Ch. 3.1 - Prob. 23PPSE Ch. 3.1 - Prob. 24PPSE Ch. 3.1 - Prob. 25PPSE Ch. 3.1 - Prob. 26PPSE Ch. 3.1 - Prob. 27PPSE Ch. 3.1 - Prob. 28PPSE Ch. 3.1 - Prob. 29PPSE Ch. 3.1 - Prob. 30PPSE Ch. 3.1 - Prob. 31PPSE Ch. 3.1 - Prob. 32PPSE Ch. 3.1 - Prob. 33PPSE Ch. 3.1 - Prob. 34PPSE Ch. 3.1 - Prob. 35PPSE Ch. 3.1 - Prob. 36PPSE Ch. 3.1 - Prob. 37PPSE Ch. 3.1 - Prob. 38PPSE Ch. 3.1 - Prob. 39PPSE Ch. 3.1 - Prob. 40PPSE Ch. 3.1 - Prob. 41PPSE Ch. 3.1 - Prob. 42PPSE Ch. 3.1 - Prob. 43PPSE Ch. 3.1 - Prob. 44PPSE Ch. 3.1 - Prob. 45PPSE Ch. 3.1 - Prob. 46PPSE Ch. 3.1 - Prob. 47PPSE Ch. 3.1 - Prob. 48PPSE Ch. 3.1 - Prob. 49PPSE Ch. 3.1 - Prob. 50PPSE Ch. 3.1 - Prob. 51PPSE Ch. 3.1 - Prob. 52PPSE Ch. 3.1 - Prob. 53PPSE Ch. 3.1 - Prob. 54PPSE Ch. 3.1 - Prob. 55PPSE Ch. 3.1 - Prob. 56PPSE Ch. 3.2 - Prob. 1LC Ch. 3.2 - Prob. 2LC Ch. 3.2 - Prob. 3LC Ch. 3.2 - Prob. 4LC Ch. 3.2 - Prob. 5LC Ch. 3.2 - Prob. 6LC Ch. 3.2 - Prob. 7LC Ch. 3.2 - Prob. 8LC Ch. 3.2 - Prob. 9LC Ch. 3.2 - Prob. 10PPSE Ch. 3.2 - Prob. 11PPSE Ch. 3.2 - Prob. 12PPSE Ch. 3.2 - Prob. 13PPSE Ch. 3.2 - Prob. 14PPSE Ch. 3.2 - Prob. 15PPSE Ch. 3.2 - Prob. 16PPSE Ch. 3.2 - Prob. 17PPSE Ch. 3.2 - Prob. 18PPSE Ch. 3.2 - Prob. 19PPSE Ch. 3.2 - Prob. 20PPSE Ch. 3.2 - Prob. 21PPSE Ch. 3.2 - Prob. 22PPSE Ch. 3.2 - Prob. 23PPSE Ch. 3.2 - Prob. 24PPSE Ch. 3.2 - Prob. 25PPSE Ch. 3.2 - Prob. 26PPSE Ch. 3.2 - Prob. 27PPSE Ch. 3.2 - Prob. 28PPSE Ch. 3.2 - Prob. 29PPSE Ch. 3.2 - Prob. 30PPSE Ch. 3.2 - Prob. 31PPSE Ch. 3.2 - Prob. 32PPSE Ch. 3.2 - Prob. 33PPSE Ch. 3.2 - Prob. 34PPSE Ch. 3.2 - Prob. 35PPSE Ch. 3.2 - Prob. 36PPSE Ch. 3.2 - Prob. 37PPSE Ch. 3.2 - Prob. 38PPSE Ch. 3.2 - Prob. 39PPSE Ch. 3.2 - Prob. 40PPSE Ch. 3.2 - Prob. 41PPSE Ch. 3.2 - Prob. 42PPSE Ch. 3.2 - Prob. 43PPSE Ch. 3.2 - 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Prob. 18PPSE Ch. 3.3 - Prob. 19PPSE Ch. 3.3 - Prob. 20PPSE Ch. 3.3 - Prob. 21PPSE Ch. 3.3 - Prob. 22PPSE Ch. 3.3 - Prob. 23PPSE Ch. 3.3 - Prob. 24PPSE Ch. 3.3 - Prob. 25PPSE Ch. 3.3 - Prob. 26PPSE Ch. 3.3 - Prob. 27PPSE Ch. 3.3 - Prob. 28PPSE Ch. 3.3 - Prob. 29PPSE Ch. 3.3 - Prob. 30PPSE Ch. 3.3 - Prob. 31PPSE Ch. 3.3 - Prob. 32PPSE Ch. 3.3 - Prob. 33PPSE Ch. 3.3 - Prob. 34PPSE Ch. 3.3 - Prob. 35PPSE Ch. 3.3 - Prob. 36PPSE Ch. 3.3 - Prob. 37PPSE Ch. 3.3 - Prob. 38PPSE Ch. 3.3 - Prob. 39PPSE Ch. 3.3 - Prob. 40PPSE Ch. 3.3 - Prob. 41PPSE Ch. 3.3 - Prob. 42PPSE Ch. 3.3 - Prob. 43PPSE Ch. 3.3 - Prob. 44PPSE Ch. 3.3 - Prob. 45PPSE Ch. 3.3 - Prob. 46PPSE Ch. 3.3 - Prob. 47PPSE Ch. 3.3 - Prob. 48PPSE Ch. 3.3 - Prob. 49PPSE Ch. 3.3 - Prob. 50PPSE Ch. 3.3 - Prob. 51PPSE Ch. 3.3 - Prob. 52PPSE Ch. 3.3 - Prob. 53PPSE Ch. 3.3 - Prob. 54PPSE Ch. 3.3 - Prob. 55PPSE Ch. 3.3 - Prob. 56PPSE Ch. 3.3 - Prob. 57PPSE Ch. 3.3 - Prob. 58PPSE Ch. 3.3 - Prob. 59PPSE Ch. 3.3 - Prob. 60PPSE Ch. 3.3 - Prob. 61PPSE Ch. 3.3 - Prob. 62PPSE Ch. 3.3 - Prob. 63PPSE Ch. 3.3 - Prob. 64PPSE Ch. 3.3 - Prob. 65PPSE Ch. 3.3 - Prob. 66PPSE Ch. 3.3 - Prob. 67PPSE Ch. 3.3 - Prob. 68PPSE Ch. 3.3 - Prob. 69PPSE Ch. 3.3 - Prob. 70PPSE Ch. 3.3 - Prob. 71PPSE Ch. 3.3 - Prob. 72PPSE Ch. 3.4 - Prob. 1LC Ch. 3.4 - Prob. 2LC Ch. 3.4 - Prob. 3LC Ch. 3.4 - Prob. 4LC Ch. 3.4 - Prob. 5LC Ch. 3.4 - Prob. 6LC Ch. 3.4 - Prob. 7LC Ch. 3.4 - Prob. 8LC Ch. 3.4 - Prob. 9LC Ch. 3.4 - Prob. 10PPSE Ch. 3.4 - Prob. 11PPSE Ch. 3.4 - Prob. 12PPSE Ch. 3.4 - Prob. 13PPSE Ch. 3.4 - Prob. 14PPSE Ch. 3.4 - Prob. 15PPSE Ch. 3.4 - Prob. 16PPSE Ch. 3.4 - Prob. 17PPSE Ch. 3.4 - Prob. 18PPSE Ch. 3.4 - Prob. 19PPSE Ch. 3.4 - Prob. 20PPSE Ch. 3.4 - Prob. 21PPSE Ch. 3.4 - Prob. 22PPSE Ch. 3.4 - Prob. 23PPSE Ch. 3.4 - Prob. 24PPSE Ch. 3.4 - Prob. 25PPSE Ch. 3.4 - Prob. 26PPSE Ch. 3.4 - Prob. 27PPSE Ch. 3.4 - Prob. 28PPSE Ch. 3.4 - Prob. 29PPSE Ch. 3.4 - Prob. 30PPSE Ch. 3.4 - Prob. 31PPSE Ch. 3.4 - Prob. 32PPSE Ch. 3.4 - Prob. 33PPSE Ch. 3.4 - Prob. 34PPSE Ch. 3.4 - Prob. 35PPSE Ch. 3.4 - Prob. 36PPSE Ch. 3.4 - Prob. 37PPSE Ch. 3.4 - Prob. 1E Ch. 3.4 - Prob. 2E Ch. 3.4 - Prob. 3E Ch. 3.4 - Prob. 4E Ch. 3.5 - Prob. 1A Ch. 3.5 - Prob. 2A Ch. 3.5 - Prob. 3A Ch. 3.5 - Prob. 4A Ch. 3.5 - Prob. 5A Ch. 3.5 - Prob. 6A Ch. 3.5 - Prob. 7A Ch. 3.5 - Prob. 8A Ch. 3.5 - Prob. 9A Ch. 3.5 - Prob. 10A Ch. 3.5 - Prob. 11A Ch. 3.5 - Prob. 12E Ch. 3.5 - Prob. 13E Ch. 3.5 - Prob. 14E Ch. 3.5 - Prob. 15E Ch. 3.5 - Prob. 16E Ch. 3.5 - Prob. 17E Ch. 3.5 - Prob. 18E Ch. 3.5 - Prob. 19E Ch. 3.5 - Prob. 20E Ch. 3.5 - Prob. 21E Ch. 3.5 - Prob. 22E Ch. 3.5 - Prob. 23E Ch. 3.5 - Prob. 1LC Ch. 3.5 - Prob. 2LC Ch. 3.5 - Prob. 3LC Ch. 3.5 - Prob. 4LC Ch. 3.5 - Prob. 5LC Ch. 3.5 - Prob. 6LC Ch. 3.5 - Prob. 7LC Ch. 3.5 - Prob. 8LC Ch. 3.5 - Prob. 9PPSE Ch. 3.5 - Prob. 10PPSE Ch. 3.5 - Prob. 11PPSE Ch. 3.5 - Prob. 12PPSE Ch. 3.5 - Prob. 13PPSE Ch. 3.5 - Prob. 14PPSE Ch. 3.5 - Prob. 15PPSE Ch. 3.5 - Prob. 16PPSE Ch. 3.5 - Prob. 17PPSE Ch. 3.5 - Prob. 18PPSE Ch. 3.5 - Prob. 19PPSE Ch. 3.5 - Prob. 20PPSE Ch. 3.5 - Prob. 21PPSE Ch. 3.5 - Prob. 22PPSE Ch. 3.5 - Prob. 23PPSE Ch. 3.5 - Prob. 24PPSE Ch. 3.5 - Prob. 25PPSE Ch. 3.5 - Prob. 26PPSE Ch. 3.5 - Prob. 27PPSE Ch. 3.5 - Prob. 28PPSE Ch. 3.5 - Prob. 29PPSE Ch. 3.5 - Prob. 30PPSE Ch. 3.5 - Prob. 31PPSE Ch. 3.5 - Prob. 32PPSE Ch. 3.5 - Prob. 33PPSE Ch. 3.5 - Prob. 34PPSE Ch. 3.5 - Prob. 35PPSE Ch. 3.5 - Prob. 36PPSE Ch. 3.5 - Prob. 37PPSE Ch. 3.5 - Prob. 38PPSE Ch. 3.5 - Prob. 39PPSE Ch. 3.5 - Prob. 40PPSE Ch. 3.5 - Prob. 41PPSE Ch. 3.5 - Prob. 42PPSE Ch. 3.5 - Prob. 43PPSE Ch. 3.5 - Prob. 44PPSE Ch. 3.5 - Prob. 45PPSE Ch. 3.6 - Prob. 1LC Ch. 3.6 - Prob. 2LC Ch. 3.6 - Prob. 3LC Ch. 3.6 - Prob. 4LC Ch. 3.6 - Prob. 5LC Ch. 3.6 - Prob. 6LC Ch. 3.6 - Prob. 7LC Ch. 3.6 - Prob. 8PPSE Ch. 3.6 - Prob. 9PPSE Ch. 3.6 - Prob. 10PPSE Ch. 3.6 - Prob. 11PPSE Ch. 3.6 - Prob. 12PPSE Ch. 3.6 - Prob. 13PPSE Ch. 3.6 - Prob. 14PPSE Ch. 3.6 - Prob. 15PPSE Ch. 3.6 - Prob. 16PPSE Ch. 3.6 - Prob. 17PPSE Ch. 3.6 - Prob. 18PPSE Ch. 3.6 - Prob. 19PPSE Ch. 3.6 - Prob. 20PPSE Ch. 3.6 - Prob. 21PPSE Ch. 3.6 - Prob. 22PPSE Ch. 3.6 - Prob. 23PPSE Ch. 3.6 - Prob. 24PPSE Ch. 3.6 - Prob. 25PPSE Ch. 3.6 - Prob. 26PPSE Ch. 3.6 - Prob. 27PPSE Ch. 3.6 - Prob. 28PPSE Ch. 3.6 - Prob. 29PPSE Ch. 3.6 - Prob. 30PPSE Ch. 3.6 - Prob. 31PPSE Ch. 3.6 - Prob. 32PPSE Ch. 3.6 - Prob. 33PPSE Ch. 3.6 - Prob. 34PPSE Ch. 3.6 - Prob. 35PPSE Ch. 3.6 - Prob. 36PPSE Ch. 3.6 - Prob. 37PPSE Ch. 3.6 - Prob. 38PPSE Ch. 3.6 - Prob. 39PPSE Ch. 3.6 - Prob. 40PPSE Ch. 3.6 - Prob. 41PPSE Ch. 3.6 - Prob. 42PPSE Ch. 3.6 - Prob. 43PPSE Ch. 3.6 - Prob. 44PPSE Ch. 3.6 - Prob. 45PPSE Ch. 3.6 - Prob. 46PPSE Ch. 3.6 - Prob. 47PPSE Ch. 3.6 - Prob. 48PPSE Ch. 3.6 - Prob. 49PPSE Ch. 3.6 - Prob. 50PPSE Ch. 3.6 - Prob. 51PPSE Ch. 3.6 - Prob. 52PPSE Ch. 3.6 - Prob. 53PPSE Ch. 3.6 - Prob. 54PPSE Ch. 3.6 - Prob. 55PPSE Ch. 3.6 - Prob. 56PPSE Ch. 3.6 - Prob. 57PPSE Ch. 3.6 - Prob. 58PPSE Ch. 3 - Prob. 1GR Ch. 3 - Prob. 2GR Ch. 3 - Prob. 3GR Ch. 3 - Prob. 4GR Ch. 3 - Prob. 5GR Ch. 3 - Prob. 6GR Ch. 3 - Prob. 7GR Ch. 3 - Prob. 8GR Ch. 3 - Prob. 9GR Ch. 3 - Prob. 10GR Ch. 3 - Prob. 11GR Ch. 3 - Prob. 12GR Ch. 3 - Prob. 13GR Ch. 3 - Prob. 14GR Ch. 3 - Prob. 15GR Ch. 3 - Prob. 16GR Ch. 3 - Prob. 17GR Ch. 3 - Prob. 18GR Ch. 3 - Prob. 19GR Ch. 3 - Prob. 20GR Ch. 3 - Prob. 21GR Ch. 3 - Prob. 22GR Ch. 3 - Prob. 23GR Ch. 3 - Prob. 1MCQ Ch. 3 - Prob. 2MCQ Ch. 3 - Prob. 3MCQ Ch. 3 - Prob. 4MCQ Ch. 3 - Prob. 5MCQ Ch. 3 - Prob. 6MCQ Ch. 3 - Prob. 7MCQ Ch. 3 - Prob. 8MCQ Ch. 3 - Prob. 9MCQ Ch. 3 - Prob. 10MCQ Ch. 3 - Prob. 11MCQ Ch. 3 - Prob. 12MCQ Ch. 3 - Prob. 13MCQ Ch. 3 - Prob. 14MCQ Ch. 3 - Prob. 15MCQ Ch. 3 - Prob. 16MCQ Ch. 3 - Prob. 17MCQ Ch. 3 - Prob. 18MCQ Ch. 3 - Prob. 1CV Ch. 3 - Prob. 2CV Ch. 3 - Prob. 3E Ch. 3 - Prob. 4E Ch. 3 - Prob. 5E Ch. 3 - Prob. 6E Ch. 3 - Prob. 7E Ch. 3 - Prob. 8E Ch. 3 - Prob. 9E Ch. 3 - Prob. 10E Ch. 3 - Prob. 11E Ch. 3 - Prob. 12E Ch. 3 - Prob. 13E Ch. 3 - Prob. 14E Ch. 3 - Prob. 15E Ch. 3 - Prob. 16E Ch. 3 - Prob. 17E Ch. 3 - Prob. 18E Ch. 3 - Prob. 19E Ch. 3 - 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