Consider the following system of equations: kx + y + 2 x + ky + 2 = 5 = -7 x + y + kz = 2 For which values of is the system inconsistent? k = (Give your answer as a comma separated list, for example: a, b, ...) For which values of k does the system have a unique solution? ke (Give your answer in interval notation, for example: [a,b) U (c,d]. If needed enter -∞ as - infinity and ∞ as infinity.) For which values of does the system have infinitely many solutions? k = (Give your answer as a comma separated list, for example: a, b, ...)

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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Consider the following system of equations:
kx
+
y +
2
x +
ky +
2
= 5
=
-7
x
+
y + kz
=
2
For which values of is the system inconsistent?
k
=
(Give your answer as a comma separated list, for example: a, b, ...)
For which values of k does the system have a unique solution?
ke
(Give your answer in interval notation, for example: [a,b) U (c,d]. If needed enter -∞ as -
infinity and ∞ as infinity.)
For which values of does the system have infinitely many solutions?
k =
(Give your answer as a comma separated list, for example: a, b, ...)
Transcribed Image Text:Consider the following system of equations: kx + y + 2 x + ky + 2 = 5 = -7 x + y + kz = 2 For which values of is the system inconsistent? k = (Give your answer as a comma separated list, for example: a, b, ...) For which values of k does the system have a unique solution? ke (Give your answer in interval notation, for example: [a,b) U (c,d]. If needed enter -∞ as - infinity and ∞ as infinity.) For which values of does the system have infinitely many solutions? k = (Give your answer as a comma separated list, for example: a, b, ...)
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