Use the​ Gauss-Jordan method to solve the following system of equations.   3x - 4y + 4z = 10 3x + 5y - z = 15 12x - 7y + 11z =45     Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.     A. The solution is ( ___ , ___ ,___ ) in the order​ x, y, z. ​(Simplify your​ answers.)   B. There is an infinite number of solutions. The solution is ( ___ , ____, ____ ) where z is any real number. ​(Simplify your answers. Use integers or fractions for any numbers in the​ expressions.)   C. There is no solution.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.3: Solving Problems With Two Variables
Problem 5OE
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Use the​ Gauss-Jordan method to solve the following system of equations.
 
3x - 4y + 4z = 10
3x + 5y - z = 15
12x - 7y + 11z =45
 
 
Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.
 
 
A.
The solution is ( ___ , ___ ,___ ) in the order​ x, y, z.
​(Simplify your​ answers.)
 
B.
There is an infinite number of solutions.
The solution is ( ___ , ____, ____ ) where z is any real number.
​(Simplify your answers. Use integers or fractions for any numbers in the​ expressions.)
 
C.
There is no solution.
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