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1 1 O A. Unique solution: x = 0, у %3D0, z %3D 0 O B. Infinitely many solutions O C. No solutions O D. Unique solution: x = 1, y = 1, z = 0 O E. Unique solution: x = 0, y = 0 O F. None of the above 2. 1 0| –3 1 3 0 0 O A. Unique solution:x = -3, y = 3 O B. Infinitely many solutions O C. Unique solution: x = 3, y = -3 O D. No solutions E. Unique solution: x = 0, y = 0, z = 0 O F. None of the above

1 1 O A. Unique solution: x = 0, у %3D0, z %3D 0 O B. Infinitely many solutions O C. No solutions O D. Unique solution: x = 1, y = 1, z = 0 O E. Unique solution: x = 0, y = 0 O F. None of the above 2. 1 0| –3 1 3 0 0 O A. Unique solution:x = -3, y = 3 O B. Infinitely many solutions O C. Unique solution: x = 3, y = -3 O D. No solutions E. Unique solution: x = 0, y = 0, z = 0 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
Chapter5: Factoring Polynomials
Section5.12: Solving Equations By Factoring
Problem 54WE
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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 0|0 1|0 0|0 A. Unique solution: x = 0, y = 0, z = 0 B. Infinitely many solutions C. No solutions D. Unique solution: x = 1, y = 1, z = 0 E. Unique solution: x = 0, у %3D 0 F. None of the above 2. 1 0| -3 1 3 0 0 0| 0 A. Unique solution:x = -3, y = 3 B. Infinitely many solutions C. Unique solution: x = 3, у %3D —3 D. No solutions E. Unique solution: x = 0, у %3D 0, z %3D0 F. None of the above
Transcribed Image Text:1 0|0 1|0 0|0 A. Unique solution: x = 0, y = 0, z = 0 B. Infinitely many solutions C. No solutions D. Unique solution: x = 1, y = 1, z = 0 E. Unique solution: x = 0, у %3D 0 F. None of the above 2. 1 0| -3 1 3 0 0 0| 0 A. Unique solution:x = -3, y = 3 B. Infinitely many solutions C. Unique solution: x = 3, у %3D —3 D. No solutions E. Unique solution: x = 0, у %3D 0, z %3D0 F. None of the above
1 0 0| 3 0 1 -4 0 -4 A. Unique solution: x = = 3, y = -4, z = 0 B. No solutions C. Unique solution: x = 3, y = -4 D. Infinitely many solutions E. Unique solution: x = = 3, y = -4, z = -4 F. None of the above 4. 0 0|0 0| 3 1 2 1 1 0 0 A. Infinitely many solutions B. Unique solution: x = 0, y = 3 C. Unique solution: x = 3, у %3D2 D. Unique solution: x = 0, у %3 3, z %3D2 E. No solutions F. None of the above
Transcribed Image Text:1 0 0| 3 0 1 -4 0 -4 A. Unique solution: x = = 3, y = -4, z = 0 B. No solutions C. Unique solution: x = 3, y = -4 D. Infinitely many solutions E. Unique solution: x = = 3, y = -4, z = -4 F. None of the above 4. 0 0|0 0| 3 1 2 1 1 0 0 A. Infinitely many solutions B. Unique solution: x = 0, y = 3 C. Unique solution: x = 3, у %3D2 D. Unique solution: x = 0, у %3 3, z %3D2 E. No solutions F. None of the above
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