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Find all possible values of k such that system (1) (i) has a unique solution; (ii) has no solutions; (iii) has infinitely many solutions.

Find all possible values of k such that system (1) (i) has a unique solution; (ii) has no solutions; (iii) has infinitely many solutions.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter5: Solving Systems Of Linear Equations
Section: Chapter Questions
Problem 15CT
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5. Let k be a real number. Consider the following linear system: x + y + z = k kx + y + 2z = 2 x + ky + z = 4 Find all possible values of k such that system (1) (i) has a unique solution; (ii) has no solutions; (iii) has infinitely many solutions.
Transcribed Image Text:5. Let k be a real number. Consider the following linear system: x + y + z = k kx + y + 2z = 2 x + ky + z = 4 Find all possible values of k such that system (1) (i) has a unique solution; (ii) has no solutions; (iii) has infinitely many solutions.
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