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College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.3: Multivariable Linear Systems
Problem 76E: The number of sides x and the combined number of sides and diagonals y for each of three regular...
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Solve the following system of equations.  Which statement below is true regarding the solution of the system?

3x + 5y – 23z = 34
x + 2y – 10z = 15
x + y – 3z = 5 

Solve the following system of equations. Which statement below is true regarding the solution of the system?
3x + 5y - 23z = 34
x + 2y - 10z = 15
x + y - 3z = 5
O A. There is one solution, and the y-coordinate of the solution is y = -7
B. There is one solution, and the y-coordinate of the solution is y = 7
O C. There are infinitely many solutions to the system, and the ordered triple is (-4z, 7z, z), z is arbitrary
O D. There are infinitely many solutions to the system, and the ordered triple is (4z, -7z, z), z is arbitrary
O E. The system is inconsistent
Transcribed Image Text:Solve the following system of equations. Which statement below is true regarding the solution of the system? 3x + 5y - 23z = 34 x + 2y - 10z = 15 x + y - 3z = 5 O A. There is one solution, and the y-coordinate of the solution is y = -7 B. There is one solution, and the y-coordinate of the solution is y = 7 O C. There are infinitely many solutions to the system, and the ordered triple is (-4z, 7z, z), z is arbitrary O D. There are infinitely many solutions to the system, and the ordered triple is (4z, -7z, z), z is arbitrary O E. The system is inconsistent
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