Solve the following system of equations. – x + 2y + z = 2– x + y + 2z = 5 y – z = 4 Which of the following is true about the solution of this system?A.The system has only one solution and the z-coordinate of the solution is z = – 1B.The system has infinitely many solutions and the x-coordinate of the solution is x = – 3z where z is arbitrary.C.The system has only one solution and the z-coordinate of the solution is z = 1.D.The system has no solution.E.The system has infinitely many solutions and the x-coordinate of the solution is x = 3z where z is arbitrary.

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Answered: 2y + z = 2 – x + y + 2z = 5 y –…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter6: Systems Of Linear Equations And Inequalities

Section: Chapter Questions

Problem 2PFA

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Solve the following system of equations.

– x + 2y + z = 2

– x + y + 2z = 5

y – z = 4

Which of the following is true about the solution of this system?

A.
The system has only one solution and the z-coordinate of the solution is z = – 1
B.
The system has infinitely many solutions and the x-coordinate of the solution is x = – 3z where z is arbitrary.
C.
The system has only one solution and the z-coordinate of the solution is z = 1.
D.
The system has no solution.
E.
The system has infinitely many solutions and the x-coordinate of the solution is x = 3z where z is arbitrary.

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