Determine the values of a for which the system has no solutions exactly one solution, or infinitely many solutions. x + 3y - 3z = 4 2x - y + 2z = 3 4x + 5y + (a² − 13) z = a + 8 For a = i there is no solution.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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
2x = y + 2z = 3
4x + 5y + (a² − 13) z = a + 8
For a =
For a =
solutions.
For a = ±
solution.
i
there is no solution.
there are infinitely many
the system has exactly one
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 2x = y + 2z = 3 4x + 5y + (a² − 13) z = a + 8 For a = For a = solutions. For a = ± solution. i there is no solution. there are infinitely many the system has exactly one
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