c) Consider the following system of linear equations. X + 2y 2x y + 3x + y + - - 4z 2z (a²-27)z = 4 6 a +5 = = Find the value(s) of a such that the given system will have

Algebra and Trigonometry (6th Edition)
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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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c) Consider the following system of linear equations.
+ 2y
4z
y
+
2z
+ y + (a²-27)z
X
2x
3x
i) no solution.
-
= 4
6
a +5
=
=
Find the value(s) of a such that the given system will have
ii) infinitely many solutions.
iii) If a = 0, state the type of the solution and give reason(s) for your answer.
Transcribed Image Text:c) Consider the following system of linear equations. + 2y 4z y + 2z + y + (a²-27)z X 2x 3x i) no solution. - = 4 6 a +5 = = Find the value(s) of a such that the given system will have ii) infinitely many solutions. iii) If a = 0, state the type of the solution and give reason(s) for your answer.
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