EP ALGEBRA 1-ETEXT ACCESS
11th Edition
ISBN: 9780133216455
Author: Charles
Publisher: SAVVAS L
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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
EP ALGEBRA 1-ETEXT ACCESS
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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