Solve the following system of linear equations: 5y + 3z 6. 4х + 21y + 10z 31 5y 2z -8 -x 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:B • 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. x = y = = 2 I| ||||

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.5: Applying Systems Of Linear Equations
Problem 19PPS
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Please explains Parts 1 and 2. 

Part 1
Solve the following system of linear equations:
+
5y
3z
%D
4x
+ 2ly
10z
31
-x
5y
2z
-8
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 arbitrar
E. There are infinitely many solutions with two arbitrary parameters.
F. There are infinitely many solutions with three arbitrary parameters.
parameter.
Statement: B
• 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.
X =
...
y =
Z =
6.
+ + I
Transcribed Image Text:Part 1 Solve the following system of linear equations: + 5y 3z %D 4x + 2ly 10z 31 -x 5y 2z -8 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 arbitrar E. There are infinitely many solutions with two arbitrary parameters. F. There are infinitely many solutions with three arbitrary parameters. parameter. Statement: B • 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. X = ... y = Z = 6. + + I
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