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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.7: Solving Systems Of Linear And Quadratic Equations
Problem 29HP
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Do C) i,ii,iii 

 

 

 

 

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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