Use the Gauss-Jordan method to solve the given system of equations: -25x-6y-z=-40 -15x-10y-2z=-14 20x+6y+z=30

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.CT: Chapter Test
Problem 7CT
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Use the Gauss-Jordan method to solve the given system of equations:
-25x-6y-z=-40
-15x-10y-2z=-14
20x+6y+z=30
 

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Part 1
What is the augmented matrix that represents the system of​ equations?
 
negative 25−25 negative 6−6 negative 1−1 −40
−15 negative 10−10 −2 negative 14−14
2020 6 11 30
Part 2
Select the correct choice below​ and, if​ necessary, fill in the answer boxes to complete your choice.
 
 
A.
This system has exactly one solution. The solution is enter your response here,enter your response here,enter your response here.
​(Type an exact answer in simplified​ form.)
 
B.
This system has infinitely many solutions of the form
enter your response here,enter your response here,z​,
where z is any real number.
​(Type expressions using z as the​ variable.)
 
C.
This system has no solution.
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