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The reduced row echelon form of a system of linear equations in æ and y or in x, y and z is given. For each system, determine whether it has a unique solution (in this case, find the solution), infinitely many solutions, or no solutions. 1. 1 0 0-1 0 1 0 3 0 0 O A. Unique solution: x = 3, y = -1 O B. Infinitely many solutions O C. No solutions O D. Unique solution: x = 0, y = 0, z = 0 O E. Unique solution:a = -1, y = 3 O F. None of the above

The reduced row echelon form of a system of linear equations in æ and y or in x, y and z is given. For each system, determine whether it has a unique solution (in this case, find the solution), infinitely many solutions, or no solutions. 1. 1 0 0-1 0 1 0 3 0 0 O A. Unique solution: x = 3, y = -1 O B. Infinitely many solutions O C. No solutions O D. Unique solution: x = 0, y = 0, z = 0 O E. Unique solution:a = -1, y = 3 O F. None of the above

Algebra: Structure And Method, Book 1
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
Section9.2: The Substitution Method
Problem 32WE
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The reduced row echelon form of a system of linear equations in x and y or in x, y and z is given. For each system, determine whether it has a unique solution (in this case, find the solution), infinitely many solutions, or no solutions. 1. 1 - 1 1 3 0 0 0 O A. Unique solution: x = 3, y = -1 O B. Infinitely many solutions O C. No solutions O D. Unique solution: x = 0, y = 0, z = 0 O E. Unique solution:x = -1, y = 3 O F. None of the above
Transcribed Image Text:The reduced row echelon form of a system of linear equations in x and y or in x, y and z is given. For each system, determine whether it has a unique solution (in this case, find the solution), infinitely many solutions, or no solutions. 1. 1 - 1 1 3 0 0 0 O A. Unique solution: x = 3, y = -1 O B. Infinitely many solutions O C. No solutions O D. Unique solution: x = 0, y = 0, z = 0 O E. Unique solution:x = -1, y = 3 O F. None of the above
2. 1. 10 0| 0 A. Infinitely many solutions O B. Unique solution: x = 0, y = 0 O C. Unique solution: x = 0, y= 0, z = 0 O D. No solutions O E. Unique solution: x = 1, y = 1, z = 0 O F. None of the above
Transcribed Image Text:2. 1. 10 0| 0 A. Infinitely many solutions O B. Unique solution: x = 0, y = 0 O C. Unique solution: x = 0, y= 0, z = 0 O D. No solutions O E. Unique solution: x = 1, y = 1, z = 0 O F. None of the above
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