To verify: Whether two systems of equations equivalent or not.
Answer to Problem 75E
The given systems of equations are not equivalent.
Explanation of Solution
Given information:
The given systems of equations are
Calculations:
Since system (2) does not have
So, let’s try to get rid of x terms from the second and third equations of the system (1) using the following operations:
Subtracting 2 times the first equation from the second equation to produce a new second equation and subtracting 3 times the first equation from the third equation to produce a new third equation, we get
Conclusion:
Observing the system (2) and the above reduced Row-Echelon form of system (1), it is evident that they are different.
Therefore, they are not equivalent.
Chapter 7 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning