Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions. x + 3y2z = 5 2xy + 2z = 3 - 5x + 8y + (a² − 13) z = a + 15 For a = i For a = i For a # ± i there is no solution. there are infinitely many solutions. the system has exactly one solution.

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
Problem 32WE
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Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions.
x + 3y2z = 5
2xy + 2z = 3
-
5x + 8y + (a² − 13) z = a + 15
For a = i
For a = i
For a # ± i
there is no solution.
there are infinitely many solutions.
the system has exactly one solution.
Transcribed Image Text:Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions. x + 3y2z = 5 2xy + 2z = 3 - 5x + 8y + (a² − 13) z = a + 15 For a = i For a = i For a # ± i there is no solution. there are infinitely many solutions. the system has exactly one solution.
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