Determine the values of a for which the system has no solutions, exactly one solution, or infinitely many solutions. x + 3y – 3z = 4 3x – y + 2z = 3 4x + 2y + (a - 10)z = a + 4 %3D For a i there is no solution. For a= i there are infinitely many solutions.

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 – 3z = 4
3x – y + 2z = 3
4x + 2y + (a - 10)z = a + 4
For a = i
there is no solution.
For a = i
there are infinitely many solutions.
For at+ i
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 + 3y – 3z = 4 3x – y + 2z = 3 4x + 2y + (a - 10)z = a + 4 For a = i there is no solution. For a = i there are infinitely many solutions. For at+ i the system has exactly one solution.
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