Use the Gauss-Jordan Elimination method to solve the system, following the steps outlined below. 5x+20y=−305x+24y=−42

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter6: Matrices And Determinants
Section: Chapter Questions
Problem 4CC
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Use the Gauss-Jordan Elimination method to solve the system, following the steps outlined below.

5x+20y=−305x+24y=−425x+20y=-305x+24y=-42
1. Convert the system into an augmented matrix.
 
     
     
 
 
2. Use row operations to get a 11 in row 1, column 1.
 
     
     
 
 
3. Use row operations to get a 00 in row 2, column 1.
 
     
     
 
 
4. Use row operations to get a 11 in row 2, column 2.
 
     
     
 
 
5. Use row operations to get a 00 in row 1, column 2.
 
     
     
 
 



The solution to the system is x=x= and y=y= .

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