Find the solution set of the following linear system. Identify inconsistent systems and dependent equations. x- 3y - z = 6 -x+8y - 4z = - 16 2х - 15у + 7z 3 30 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The system is consistent and the solution set is {( :D}: (Simplify your answers.) B. The system is consistent and dependent. The solution set is the set of all ordered triples {( , z) }, where z is any real number. (Type an expression using z as the variable. Simplify your answer.) O C. The system is inconsistent.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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Find the solution set of the following linear system. Identify inconsistent systems and dependent equations.
x- 3y - z = 6
-x+ 8y - 4z = - 16
2х- 15у + 7z %3D30
...
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. The system is consistent and the solution set is {( D}:
(Simplify your answers.)
B. The system is consistent and dependent. The solution set is the set of all ordered triples {( z)}, where z is any real number.
(Type an expression using z as the variable. Simplify your answer.)
O C. The system is inconsistent.
Transcribed Image Text:Find the solution set of the following linear system. Identify inconsistent systems and dependent equations. x- 3y - z = 6 -x+ 8y - 4z = - 16 2х- 15у + 7z %3D30 ... Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The system is consistent and the solution set is {( D}: (Simplify your answers.) B. The system is consistent and dependent. The solution set is the set of all ordered triples {( z)}, where z is any real number. (Type an expression using z as the variable. Simplify your answer.) O C. The system is inconsistent.
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