Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions. x + 3y - 2z = 5 3x-y + 2z = 3 4x + 2y + (a²-9)z = a +5

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.2: The Substitution Method
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Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions.
x + 3y - 2z = 5
3x-y + 2z = 3
4x + 2y + (a²-9)z = a + 5
For a = i
there is no solution.
For a = i
there are infinitely many solutions.
the system has exactly one solution.
For at i
Transcribed Image Text:Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions. x + 3y - 2z = 5 3x-y + 2z = 3 4x + 2y + (a²-9)z = a + 5 For a = i there is no solution. For a = i there are infinitely many solutions. the system has exactly one solution. For at i
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