The augmented matrix is in row-echelon form. Assume that the variables are x, y, and z and use back substitution to obtain the solution of the associated system of linea 1 2 1 4 0 1 -3 11 0 0 1 - 3 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. There is one solution. The solution set is { } (Simplify your answer. Type an ordered triple, using integers or fractions.) O B. There are infinitely many solutions. The solution set is the set of all ordered triples { . z)}, where z is any real number. (Type expressions using z as the variable. Simplify your answers.) O C. The system is inconsistent. The solution set is ø.

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
Section9.1: The Graphing Method
Problem 3CE
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The augmented matrix is in row-echelon form. Assume that the variables are x, y, and z and use back substitution to obtain the solution of the associated system of linear equations.
1 2
1
4
0 1 -3
11
0 0
1
- 3
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. There is one solution. The solution set is { }
(Simplify your answer. Type an ordered triple, using integers or fractions.)
O B. There are infinitely many solutions. The solution set is the set of all ordered triples {( z) }, where z is any real number.
(Type expressions using z as the variable. Simplify your answers.)
O C. The system is inconsistent. The solution set is Ø.
Transcribed Image Text:The augmented matrix is in row-echelon form. Assume that the variables are x, y, and z and use back substitution to obtain the solution of the associated system of linear equations. 1 2 1 4 0 1 -3 11 0 0 1 - 3 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. There is one solution. The solution set is { } (Simplify your answer. Type an ordered triple, using integers or fractions.) O B. There are infinitely many solutions. The solution set is the set of all ordered triples {( z) }, where z is any real number. (Type expressions using z as the variable. Simplify your answers.) O C. The system is inconsistent. The solution set is Ø.
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