High School Math 2011 Algebra 1(prentice Hall) Student Edition
11th Edition
ISBN: 9780133500400
Author: Prentice Hall
Publisher: Prentice Hall
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Question
Chapter 6, Problem 18CT
To determine
To determine if it is possible for the system to have infinitely many solutions if the graphs of the equations are not same.
Expert Solution & Answer
Answer to Problem 18CT
No, it is not possible
Explanation of Solution
Given:
A system of equation:
where
A system of equations has 3 forms:
- Consistent system: The equations have only one solution and their graphs intersect at only one point (unique solution).
- Dependent system: The equations have infinitely many solutions and their graphs are coinciding.
- Inconsistent system: The equations have no solution and their graphs are parallel or non-intersecting.
It is not possible for the system to have infinitely many solutions if their graphs are not the same line.
Conclusion:
Therefore, for a system to have infinitely many solutions, the graphs must be coinciding.
Hence it is not possible for a system to have infinitely many solutions and not having same graph.
Chapter 6 Solutions
High School Math 2011 Algebra 1(prentice Hall) Student Edition
Ch. 6.1 - Prob. 1PCh. 6.1 - Prob. 2PCh. 6.1 - Prob. 3PCh. 6.1 - Prob. 1LCCh. 6.1 - Prob. 2LCCh. 6.1 - Prob. 3LCCh. 6.1 - Prob. 4LCCh. 6.1 - Prob. 5LCCh. 6.1 - Prob. 6LCCh. 6.1 - Prob. 7LC
Ch. 6.1 - Prob. 8LCCh. 6.1 - Prob. 9LCCh. 6.1 - Prob. 10PPECh. 6.1 - Prob. 11PPECh. 6.1 - Prob. 12PPECh. 6.1 - Prob. 13PPECh. 6.1 - Prob. 14PPECh. 6.1 - Prob. 15PPECh. 6.1 - Prob. 16PPECh. 6.1 - Prob. 17PPECh. 6.1 - Prob. 18PPECh. 6.1 - Prob. 19PPECh. 6.1 - Prob. 20PPECh. 6.1 - Prob. 21PPECh. 6.1 - Prob. 22PPECh. 6.1 - Prob. 23PPECh. 6.1 - Prob. 24PPECh. 6.1 - Prob. 25PPECh. 6.1 - Prob. 26PPECh. 6.1 - Prob. 27PPECh. 6.1 - Prob. 28PPECh. 6.1 - Prob. 29PPECh. 6.1 - Prob. 30PPECh. 6.1 - Prob. 31PPECh. 6.1 - Prob. 32PPECh. 6.1 - Prob. 33PPECh. 6.1 - Prob. 34PPECh. 6.1 - Prob. 35PPECh. 6.1 - Prob. 36PPECh. 6.1 - Prob. 37PPECh. 6.1 - Prob. 38PPECh. 6.1 - Prob. 39PPECh. 6.1 - Prob. 40PPECh. 6.1 - Prob. 41PPECh. 6.1 - Prob. 42PPECh. 6.1 - Prob. 43STPCh. 6.1 - Prob. 44STPCh. 6.1 - Prob. 45STPCh. 6.1 - Prob. 46MRCh. 6.1 - Prob. 47MRCh. 6.1 - Prob. 48MRCh. 6.1 - Prob. 49MRCh. 6.1 - Prob. 50MRCh. 6.1 - Prob. 51MRCh. 6.1 - Prob. 52MRCh. 6.1 - Prob. 53MRCh. 6.1 - Prob. 54MRCh. 6.1 - Prob. 55MRCh. 6.1 - Prob. 56MRCh. 6.1 - Prob. 57MRCh. 6.1 - Prob. 5CBCh. 6.1 - Prob. 6CBCh. 6.1 - Prob. 7CBCh. 6.1 - Prob. 8CBCh. 6.2 - Prob. 1CBCh. 6.2 - Prob. 2CBCh. 6.2 - Prob. 3CBCh. 6.2 - Prob. 1PCh. 6.2 - Prob. 2PCh. 6.2 - Prob. 3PCh. 6.2 - Prob. 4PCh. 6.2 - Prob. 1LCCh. 6.2 - Prob. 2LCCh. 6.2 - Prob. 3LCCh. 6.2 - Prob. 4LCCh. 6.2 - Prob. 5LCCh. 6.2 - Prob. 6LCCh. 6.2 - Prob. 7LCCh. 6.2 - Prob. 8LCCh. 6.2 - Prob. 9LCCh. 6.2 - Prob. 10LCCh. 6.2 - Prob. 11PPECh. 6.2 - Prob. 12PPECh. 6.2 - Prob. 13PPECh. 6.2 - Prob. 14PPECh. 6.2 - Prob. 15PPECh. 6.2 - Prob. 16PPECh. 6.2 - Prob. 17PPECh. 6.2 - Prob. 18PPECh. 6.2 - Prob. 19PPECh. 6.2 - Prob. 20PPECh. 6.2 - Prob. 21PPECh. 6.2 - Prob. 22PPECh. 6.2 - Prob. 23PPECh. 6.2 - Prob. 24PPECh. 6.2 - Prob. 25PPECh. 6.2 - Prob. 26PPECh. 6.2 - Prob. 27PPECh. 6.2 - Prob. 28PPECh. 6.2 - Prob. 29PPECh. 6.2 - Prob. 30PPECh. 6.2 - Prob. 31PPECh. 6.2 - Prob. 32PPECh. 6.2 - Prob. 33PPECh. 6.2 - Prob. 34PPECh. 6.2 - Prob. 35PPECh. 6.2 - Prob. 36PPECh. 6.2 - Prob. 37PPECh. 6.2 - Prob. 38PPECh. 6.2 - Prob. 39PPECh. 6.2 - Prob. 40PPECh. 6.2 - Prob. 41PPECh. 6.2 - Prob. 42PPECh. 6.2 - Prob. 43PPECh. 6.2 - Prob. 1MPCh. 6.3 - Prob. 1PCh. 6.3 - Prob. 2PCh. 6.3 - Prob. 3PCh. 6.3 - Prob. 4PCh. 6.3 - Prob. 5PCh. 6.3 - Prob. 1LCCh. 6.3 - Prob. 2LCCh. 6.3 - Prob. 3LCCh. 6.3 - Prob. 4LCCh. 6.3 - Prob. 5LCCh. 6.3 - Prob. 6LCCh. 6.3 - Prob. 7PPECh. 6.3 - Prob. 8PPECh. 6.3 - Prob. 9PPECh. 6.3 - Prob. 10PPECh. 6.3 - Prob. 11PPECh. 6.3 - Prob. 12PPECh. 6.3 - Prob. 13PPECh. 6.3 - Prob. 14PPECh. 6.3 - Prob. 15PPECh. 6.3 - Prob. 16PPECh. 6.3 - Prob. 17PPECh. 6.3 - Prob. 18PPECh. 6.3 - Prob. 19PPECh. 6.3 - Prob. 20PPECh. 6.3 - Prob. 21PPECh. 6.3 - Prob. 22PPECh. 6.3 - Prob. 23PPECh. 6.3 - Prob. 24PPECh. 6.3 - Prob. 25PPECh. 6.3 - Prob. 26PPECh. 6.3 - Prob. 27PPECh. 6.3 - Prob. 28PPECh. 6.3 - Prob. 29PPECh. 6.3 - Prob. 30PPECh. 6.3 - Prob. 31PPECh. 6.3 - Prob. 32PPECh. 6.3 - Prob. 33PPECh. 6.3 - Prob. 34PPECh. 6.3 - Prob. 35PPECh. 6.3 - Prob. 36PPECh. 6.3 - Prob. 37PPECh. 6.3 - Prob. 38PPECh. 6.3 - Prob. 39PPECh. 6.3 - Prob. 40PPECh. 6.3 - Prob. 41PPECh. 6.3 - Prob. 42PPECh. 6.3 - Prob. 43PPECh. 6.3 - Prob. 44PPECh. 6.3 - Prob. 45STPCh. 6.3 - Prob. 46STPCh. 6.3 - Prob. 47STPCh. 6.3 - Prob. 48STPCh. 6.3 - Prob. 49STPCh. 6.3 - Prob. 50MRCh. 6.3 - Prob. 51MRCh. 6.3 - Prob. 52MRCh. 6.3 - Prob. 53MRCh. 6.3 - Prob. 54MRCh. 6.3 - Prob. 55MRCh. 6.3 - Prob. 56MRCh. 6.3 - Prob. 1CBCh. 6.3 - Prob. 2CBCh. 6.3 - Prob. 3CBCh. 6.3 - Prob. 4CBCh. 6.3 - Prob. 5CBCh. 6.3 - Prob. 6CBCh. 6.3 - Prob. 7CBCh. 6.4 - Prob. 1PCh. 6.4 - Prob. 2PCh. 6.4 - Prob. 3PCh. 6.4 - Prob. 1LCCh. 6.4 - Prob. 2LCCh. 6.4 - Prob. 3LCCh. 6.4 - Prob. 4LCCh. 6.4 - Prob. 5LCCh. 6.4 - Prob. 6LCCh. 6.4 - Prob. 7PPECh. 6.4 - Prob. 8PPECh. 6.4 - Prob. 9PPECh. 6.4 - Prob. 10PPECh. 6.4 - Prob. 11PPECh. 6.4 - Prob. 12PPECh. 6.4 - Prob. 13PPECh. 6.4 - Prob. 14PPECh. 6.4 - Prob. 15PPECh. 6.4 - Prob. 16PPECh. 6.4 - Prob. 17PPECh. 6.4 - Prob. 18PPECh. 6.4 - Prob. 19PPECh. 6.4 - Prob. 20PPECh. 6.4 - Prob. 21PPECh. 6.4 - Prob. 22PPECh. 6.4 - Prob. 23PPECh. 6.4 - Prob. 24PPECh. 6.4 - Prob. 25PPECh. 6.4 - Prob. 26PPECh. 6.4 - Prob. 27PPECh. 6.4 - Prob. 28PPECh. 6.4 - Prob. 29STPCh. 6.4 - Prob. 30STPCh. 6.4 - Prob. 31STPCh. 6.4 - Prob. 32MRCh. 6.4 - Prob. 33MRCh. 6.4 - Prob. 34MRCh. 6.4 - Prob. 35MRCh. 6.4 - Prob. 36MRCh. 6.4 - Prob. 37MRCh. 6.4 - Prob. 1MCQCh. 6.4 - Prob. 2MCQCh. 6.4 - Prob. 3MCQCh. 6.4 - Prob. 4MCQCh. 6.4 - Prob. 5MCQCh. 6.4 - Prob. 6MCQCh. 6.4 - Prob. 7MCQCh. 6.4 - Prob. 8MCQCh. 6.4 - Prob. 9MCQCh. 6.4 - Prob. 10MCQCh. 6.4 - Prob. 11MCQCh. 6.4 - Prob. 12MCQCh. 6.4 - Prob. 13MCQCh. 6.4 - Prob. 14MCQCh. 6.4 - Prob. 15MCQCh. 6.4 - Prob. 16MCQCh. 6.4 - Prob. 17MCQCh. 6.4 - Prob. 18MCQCh. 6.4 - Prob. 19MCQCh. 6.4 - Prob. 20MCQCh. 6.4 - Prob. 21MCQCh. 6.5 - Prob. 1PCh. 6.5 - Prob. 2PCh. 6.5 - Prob. 3PCh. 6.5 - Prob. 4PCh. 6.5 - Prob. 5PCh. 6.5 - Prob. 1LCCh. 6.5 - Prob. 2LCCh. 6.5 - Prob. 3LCCh. 6.5 - Prob. 4LCCh. 6.5 - Prob. 5LCCh. 6.5 - Prob. 6LCCh. 6.5 - Prob. 7LCCh. 6.5 - Prob. 8PPECh. 6.5 - Prob. 9PPECh. 6.5 - Prob. 10PPECh. 6.5 - Prob. 11PPECh. 6.5 - Prob. 12PPECh. 6.5 - Prob. 13PPECh. 6.5 - Prob. 14PPECh. 6.5 - Prob. 15PPECh. 6.5 - Prob. 16PPECh. 6.5 - Prob. 17PPECh. 6.5 - Prob. 18PPECh. 6.5 - Prob. 19PPECh. 6.5 - Prob. 20PPECh. 6.5 - Prob. 21PPECh. 6.5 - Prob. 22PPECh. 6.5 - Prob. 23PPECh. 6.5 - Prob. 24PPECh. 6.5 - Prob. 25PPECh. 6.5 - Prob. 26PPECh. 6.5 - Prob. 27PPECh. 6.5 - Prob. 28PPECh. 6.5 - Prob. 29PPECh. 6.5 - Prob. 30PPECh. 6.5 - Prob. 31PPECh. 6.5 - Prob. 32PPECh. 6.5 - Prob. 33PPECh. 6.5 - Prob. 34PPECh. 6.5 - Prob. 35PPECh. 6.5 - Prob. 36PPECh. 6.5 - Prob. 37PPECh. 6.5 - Prob. 38PPECh. 6.5 - Prob. 39PPECh. 6.5 - Prob. 40PPECh. 6.5 - Prob. 41PPECh. 6.5 - Prob. 42STPCh. 6.5 - Prob. 43STPCh. 6.5 - Prob. 44STPCh. 6.5 - Prob. 45MRCh. 6.5 - Prob. 46MRCh. 6.5 - Prob. 47MRCh. 6.5 - Prob. 48MRCh. 6.5 - Prob. 49MRCh. 6.6 - Prob. 1PCh. 6.6 - Prob. 2PCh. 6.6 - Prob. 3PCh. 6.6 - Prob. 1LCCh. 6.6 - Prob. 2LCCh. 6.6 - Prob. 3LCCh. 6.6 - Prob. 4LCCh. 6.6 - Prob. 5LCCh. 6.6 - Prob. 6LCCh. 6.6 - Prob. 7PPECh. 6.6 - Prob. 8PPECh. 6.6 - Prob. 9PPECh. 6.6 - Prob. 10PPECh. 6.6 - Prob. 11PPECh. 6.6 - Prob. 12PPECh. 6.6 - Prob. 13PPECh. 6.6 - Prob. 14PPECh. 6.6 - Prob. 15PPECh. 6.6 - Prob. 16PPECh. 6.6 - Prob. 17PPECh. 6.6 - Prob. 18PPECh. 6.6 - Prob. 19PPECh. 6.6 - Prob. 20PPECh. 6.6 - Prob. 21PPECh. 6.6 - Prob. 22PPECh. 6.6 - Prob. 23PPECh. 6.6 - Prob. 24PPECh. 6.6 - Prob. 25PPECh. 6.6 - Prob. 26PPECh. 6.6 - Prob. 27PPECh. 6.6 - Prob. 28PPECh. 6.6 - Prob. 29PPECh. 6.6 - Prob. 30PPECh. 6.6 - Prob. 31PPECh. 6.6 - Prob. 32PPECh. 6.6 - Prob. 33PPECh. 6.6 - Prob. 34PPECh. 6.6 - Prob. 35PPECh. 6.6 - Prob. 36PPECh. 6.6 - Prob. 37PPECh. 6.6 - Prob. 38PPECh. 6.6 - Prob. 1MPCh. 6.6 - Prob. 7CBCh. 6.6 - Prob. 8CBCh. 6.6 - Prob. 9CBCh. 6.6 - Prob. 10CBCh. 6.6 - Prob. 11CBCh. 6.6 - Prob. 12CBCh. 6.6 - Prob. 13CBCh. 6.6 - Prob. 14CBCh. 6 - Prob. 1GRCh. 6 - Prob. 2GRCh. 6 - Prob. 3GRCh. 6 - Prob. 4GRCh. 6 - Prob. 5GRCh. 6 - Prob. 6GRCh. 6 - Prob. 7GRCh. 6 - Prob. 8GRCh. 6 - Prob. 9GRCh. 6 - Prob. 10GRCh. 6 - Prob. 11GRCh. 6 - Prob. 12GRCh. 6 - Prob. 13GRCh. 6 - Prob. 14GRCh. 6 - Prob. 15GRCh. 6 - Prob. 16GRCh. 6 - Prob. 17GRCh. 6 - Prob. 18GRCh. 6 - Prob. 1CRCh. 6 - Prob. 2CRCh. 6 - Prob. 3CRCh. 6 - Prob. 4CRCh. 6 - Prob. 5CRCh. 6 - Prob. 6CRCh. 6 - Prob. 7CRCh. 6 - Prob. 8CRCh. 6 - Prob. 9CRCh. 6 - Prob. 10CRCh. 6 - Prob. 11CRCh. 6 - Prob. 12CRCh. 6 - Prob. 13CRCh. 6 - Prob. 14CRCh. 6 - Prob. 15CRCh. 6 - Prob. 16CRCh. 6 - Prob. 17CRCh. 6 - Prob. 18CRCh. 6 - Prob. 19CRCh. 6 - Prob. 20CRCh. 6 - Prob. 21CRCh. 6 - Prob. 22CRCh. 6 - Prob. 23CRCh. 6 - Prob. 24CRCh. 6 - Prob. 25CRCh. 6 - Prob. 26CRCh. 6 - Prob. 27CRCh. 6 - Prob. 28CRCh. 6 - Prob. 29CRCh. 6 - Prob. 30CRCh. 6 - Prob. 31CRCh. 6 - Prob. 32CRCh. 6 - Prob. 1CTCh. 6 - Prob. 2CTCh. 6 - Prob. 3CTCh. 6 - Prob. 4CTCh. 6 - Prob. 5CTCh. 6 - Prob. 6CTCh. 6 - Prob. 7CTCh. 6 - Prob. 8CTCh. 6 - Prob. 9CTCh. 6 - Prob. 10CTCh. 6 - Prob. 11CTCh. 6 - Prob. 12CTCh. 6 - Prob. 13CTCh. 6 - Prob. 14CTCh. 6 - Prob. 15CTCh. 6 - Prob. 16CTCh. 6 - Prob. 17CTCh. 6 - Prob. 18CTCh. 6 - Prob. 19CTCh. 6 - Prob. 20CTCh. 6 - Prob. 21CTCh. 6 - Prob. 1CCSRCh. 6 - Prob. 2CCSRCh. 6 - Prob. 3CCSRCh. 6 - Prob. 4CCSRCh. 6 - Prob. 5CCSRCh. 6 - Prob. 6CCSRCh. 6 - Prob. 7CCSRCh. 6 - Prob. 8CCSRCh. 6 - Prob. 9CCSRCh. 6 - Prob. 10CCSRCh. 6 - Prob. 11CCSRCh. 6 - Prob. 12CCSRCh. 6 - Prob. 13CCSRCh. 6 - Prob. 14CCSRCh. 6 - Prob. 15CCSRCh. 6 - Prob. 16CCSRCh. 6 - Prob. 17CCSRCh. 6 - Prob. 18CCSRCh. 6 - Prob. 19CCSRCh. 6 - Prob. 20CCSRCh. 6 - Prob. 21CCSRCh. 6 - Prob. 22CCSRCh. 6 - Prob. 23CCSRCh. 6 - Prob. 24CCSRCh. 6 - Prob. 25CCSRCh. 6 - Prob. 26CCSRCh. 6 - Prob. 27CCSRCh. 6 - Prob. 28CCSR
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