-15x-15y-z=12 -9x-25y-2z=51 12x+15y+z=-18 Select the correct choice below​ and, if​ necessary, fill in the answer boxes to complete your choice.

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 9CT
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Question
Use the​ Gauss-Jordan method to solve the given system of equations.
−15x
15y
z
=
12
−9x
25y
2z
=
51
12x
+
15y
+
z
=
−18
 
 
 

Question content area bottom

Part 1
What is the augmented matrix that represents the system of​ equations?
 
Use the Gauss-Jordan method

-15x-15y-z=12

-9x-25y-2z=51

12x+15y+z=-18

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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