Question 13 Consider the system of linear equations below with k a real number. x + y + z = 1 y - z = 1 (k2 + k)z = k 13.1 For which value(s) of k is the system inconsistent? Write down the value(s) of k. Do not show calculations. 13.2 For which value(s) of k is the system consistent with a unique solution? Write down the value(s) of k. Do not show calculations.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter5: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 7T
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Question 13
Consider the system of linear equations below with k a real number.
x + y +
z = 1
y -
z = 1
(k2 + k)z = k
13.1 For which value(s) of k is the system inconsistent?
Write down the value(s) of k. Do not show calculations.
13.2 For which value(s) of k is the system consistent with a unique solution?
Write down the value(s) of k. Do not show calculations.
Transcribed Image Text:Question 13 Consider the system of linear equations below with k a real number. x + y + z = 1 y - z = 1 (k2 + k)z = k 13.1 For which value(s) of k is the system inconsistent? Write down the value(s) of k. Do not show calculations. 13.2 For which value(s) of k is the system consistent with a unique solution? Write down the value(s) of k. Do not show calculations.
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