-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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Use the​ Gauss-Jordan method to solve the given system of equations.
−15x
15y
z
=
12
−9x
25y
2z
=
51
12x
+
15y
+
z
=
−18
 
 
 

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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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