Solve the following system of linear equations: 4z %3D 4x 4y + 16z 12 %3D 6x + 6y + 24z 18 %3D Which one of the following statements best describes your solution: A. There is no solution. B. There is a unique solution. C. There are 3 solutions. D. There are infinitely many solutions with one arbitrary parameter. E. There are infinitely many solutions with two arbitrary parameters. F. There are infinitely many solutions with three arbitrary parameters. Statement: E Part 2 Enter your solution below. If a variable is an arbitrary parameter in your solution, then set it equal to itself, e.g., w = w. y = Z =

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 31WE
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Question
Solve the following system of linear equations:
y
+
4z
= 3
%3D
4x
+ 4y
16z
12
%3D
6x
+ 6y + 24z
18
Which one of the following statements best describes your solution:
A. There is no solution.
B. There is a unique solution.
C. There are 3 solutions.
D. There are infinitely many solutions with one arbitrary parameter.
E. There are infinitely many solutions with two arbitrary parameters.
F. There are infinitely many solutions with three arbitrary parameters.
Statement: E
Part 2
Enter your solution below. If a variable is an arbitrary parameter in your solution,
then set it equal to itself, e.g., w = w.
y =
Z =
Transcribed Image Text:Solve the following system of linear equations: y + 4z = 3 %3D 4x + 4y 16z 12 %3D 6x + 6y + 24z 18 Which one of the following statements best describes your solution: A. There is no solution. B. There is a unique solution. C. There are 3 solutions. D. There are infinitely many solutions with one arbitrary parameter. E. There are infinitely many solutions with two arbitrary parameters. F. There are infinitely many solutions with three arbitrary parameters. Statement: E Part 2 Enter your solution below. If a variable is an arbitrary parameter in your solution, then set it equal to itself, e.g., w = w. y = Z =
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