about the solution of this system?      A.  There is no solution.  B.  There is exactly one solution and the solution is (–1, –2, 0).  C.  There are infinitely many solutions and the solutions are (1.5z + 1, 0.5z + 2, z) where z is arbitrary.  D.  There are infinitely

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 2CC
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Solve the following system of equations, and determine the number of solutions for the system.

 

          x – 3y = 5

          2x – 8y + z = 14

          – 2x + 4y + z = – 6

         

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

 

 
  •  A. 

    There is no solution.

  •  B. 

    There is exactly one solution and the solution is (–1, –2, 0).

  •  C. 

    There are infinitely many solutions and the solutions are (1.5z + 1, 0.5z + 2, z) where z is arbitrary.

  •  D. 

    There are infinitely many solutions and the solutions are (–1.5z – 1, –0.5z – 2, z) where z is arbitrary.

  •  E. 

    There are infinitely many solutions and the solutions are (–1.5z + 1, –0.5z + 2, z) where z is arbitrary.

  •  F. 

    There are infinitely many solutions and the solutions are (1.5z – 1, 0.5z – 2, z) where z is arbitrary.

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