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.1.10 040 1 0 -40 0O A. Unique solution: x = 4, y = -4, z = 2O B. Unique solution: x = 4, y = -4O C. Unique solution: a = 4, y = -4, z = 0O D. Infinitely many solutionsO E. No solutionsO F. None of the above Г1 00| 20 1 020 0 o0O A. Unique solution: a2, y = 2O B. Infinitely many solutionsO C. No solutionsO D. Unique solution: x = 0, y = 0, z = 0O E. Unique solution:x = 2, y = 2O F. None of the above4.1 0 01 0-10 014O A. Unique solution: x0, y = -1O B. Unique solution: a = 0, y = -1, z = 4O C. No solutionsO D. Infinitely many solutionsO E. Unique solution: x = -1, y = 4O F. None of the above

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The reduced row echelon form of a system of linear equations in z and y or in r, 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| 4 0 1 0-4 0 0 0 2 O A Unigue solution:

The reduced row echelon form of a system of linear equations in z and y or in r, 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| 4 0 1 0-4 0 0 0 2 O A Unigue solution:

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter5: Solving Systems Of Linear Equations

Section: Chapter Questions

Problem 15CT

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Question

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.
10 0
4
0 1 0 -4
0 0
O A. Unique solution: x = 4, y = -4, z = 2
O B. Unique solution: x = 4, y = -4
O C. Unique solution: a = 4, y = -4, z = 0
O D. Infinitely many solutions
O E. No solutions
O F. None of the above

Г1 0
0| 2
0 1 02
0 0 o0
O A. Unique solution: a
2, y = 2
O B. Infinitely many solutions
O C. No solutions
O D. Unique solution: x = 0, y = 0, z = 0
O E. Unique solution:x = 2, y = 2
O F. None of the above
4.
1 0 0
1 0
-1
0 0
1
4
O A. Unique solution: x
0, y = -1
O B. Unique solution: a = 0, y = -1, z = 4
O C. No solutions
O D. Infinitely many solutions
O E. Unique solution: x = -1, y = 4
O F. None of the above

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