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Consider the following system of linear equations  3x + 2y + z = 0  x + y + z = 0  x       − z = 0 with solutions of the form (x,y,z) where x,y,z are real numbers. Which of the following statements are correct? a) The system is consistent. b) The sum of any two solutions is a solution. c) The system has a unique solution.

Consider the following system of linear equations  3x + 2y + z = 0  x + y + z = 0  x       − z = 0 with solutions of the form (x,y,z) where x,y,z are real numbers. Which of the following statements are correct? a) The system is consistent. b) The sum of any two solutions is a solution. c) The system has a unique solution.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.4: Solving Nonlinear Systems Of Equations
Problem 62E
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Consider the following system of linear equations

 3x + 2y + z = 0

 x + y + z = 0

 x       − z = 0

with solutions of the form (x,y,z) where x,y,z are real numbers. Which of the following statements are correct?

a) The system is consistent.

b) The sum of any two solutions is a solution.

c) The system has a unique solution.

d) The system has infinitely many solutions.

 

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