Determine whether the system of linear equations is inconsistent or dependent. y + 3z = 2 4x - 8y + 32z = 5 2x - 3y + 11z = 3 X - dependent inconsistent

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter11: Matrices And Determinants
Section11.1: Matrices And Systems Of Linear Equations
Problem 1E: If a system of linear equations has infinitely many solutions, then the system is called _______. If...
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Determine whether the system of linear equations is inconsistent or dependent.
X -
y +
3z = 2
8y + 32z
Зу + 112
4x -
%3D
2x
= 3
dependent
inconsistent
If it is dependent, find the complete solution. (If the system is dependent, express your answer in terms of t, where
x = x(t), y = y(t), and z = t. If the system is inconsistent, enter INCONSISTENT.)
(х, у, 2) %3D
Transcribed Image Text:Determine whether the system of linear equations is inconsistent or dependent. X - y + 3z = 2 8y + 32z Зу + 112 4x - %3D 2x = 3 dependent inconsistent If it is dependent, find the complete solution. (If the system is dependent, express your answer in terms of t, where x = x(t), y = y(t), and z = t. If the system is inconsistent, enter INCONSISTENT.) (х, у, 2) %3D
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