x + 2y - 3z = 4 3x - y + 5z = 2 4x + y + (a^2 - 14)z = a + 2 where a is any arbitrary constant for which values of a does the system have one solution, no solution and inifinetly many solutions

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter6: Systems Of Linear Equations And Inequalities
Section: Chapter Questions
Problem 44SGR
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x + 2y - 3z = 4

3x - y + 5z = 2

4x + y + (a^2 - 14)z = a + 2

where a is any arbitrary constant

for which values of a does the system have one solution, no solution and inifinetly many solutions

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