Use Gauss-Jordan row reduction to solve the given system of equations. (If there is no solution, enter NO SOLUTION. If the system is dependent, express your answer using the parameters x, y, and/or z.) x  −  1 2y      =  0   1 3x  +  1 3y  +  1 3z  =  6   1 2x      −  1 2z  =  1

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 86E
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Use Gauss-Jordan row reduction to solve the given system of equations. (If there is no solution, enter NO SOLUTION. If the system is dependent, express your answer using the parameters xy, and/or z.)
x  − 
1
2
y
     =  0
 
1
3
x
 + 
1
3
y
 + 
1
3
z
 =  6
 
1
2
x
     − 
1
2
z
 =  1
(x, y, z) = 
 
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