7. The University of Texas at Austin has three times as many students enrolled as the University of Miami. The University of California, Berkley has 3,000 more than twice the number of students as the University of Miami. If the three schools have a total enrollment of 96,000 students, what is the enrollment at each school? X = a. Describe what the variables represent: y = Z = b. Write the system of linear equations: c. Write the Augmented Matrix for the system of linear equations then solve using the Gauss- Jordan Elimination Method. Show all row operations and at least 5 of the resulting matrices. Use proper notation. Write the solution as an ordered triple, if appropriate.

7. The University of Texas at Austin has three times as many students enrolled as the University of Miami. The University of California, Berkley has 3,000 more than twice the number of students as the University of Miami. If the three schools have a total enrollment of 96,000 students, what is the enrollment at each school? X = a. Describe what the variables represent: y = Z = b. Write the system of linear equations: c. Write the Augmented Matrix for the system of linear equations then solve using the Gauss- Jordan Elimination Method. Show all row operations and at least 5 of the resulting matrices. Use proper notation. Write the solution as an ordered triple, if appropriate.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 16EQ

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