QUESTION 6 3x1 + 7x2 - X3 + 8x4 = -1 2x1 + 5x2 + 5x4 = 1 3x, + 6x2- 4x3 + 8x4 = -18 2x, + 4x2 - 4x3 + 4x4 = -8 The given linear system is Inconsistent Consistent with infinitely many solutions X1 = 14s - 7t- 8, X2 = - 6s + 2t + 5, X3 =s, X4 = t :-: O Consistent with infinitely many solutions X1 = - 7s + 2t +- 9, X2 = s, X3 = t - 1, X4 = t Consistent with a unique solution X1 = - 8, X2 = 3,X3 = 1, X4 = 2 O Consistent with a unique solution X1 = 2, X2 = 3, X3 = -1 , X4 = - 4

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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QUESTION 6
3x1 + 7x2 - X3 + 8x4 = -1
2x, + 5x2
+ 5x4 = 1
3x, + 6x2- 4x3 + 8x4 = -18
2x1 +
4x2 - 4x3 + 4x4 = -8
The given linear system is
O Inconsistent
O Consistent with infinitely many solutions
X1 = 14s 7t - 8, X2 = - 6s + 2t + 5, X3 = s, X4= t
Consistent with infinitely many solutions
X1 = - 7s + 2t +- 9, X2 = S, X3 = t - 1, X4= t
O Consistent with a unique solution
X1 = - 8, X2 = 3, X3 = 1, X4 = 2
O Consistent with a unique solution
X1 = 2, X2 = 3, X3 = -1 , X4 = - 4
Transcribed Image Text:QUESTION 6 3x1 + 7x2 - X3 + 8x4 = -1 2x, + 5x2 + 5x4 = 1 3x, + 6x2- 4x3 + 8x4 = -18 2x1 + 4x2 - 4x3 + 4x4 = -8 The given linear system is O Inconsistent O Consistent with infinitely many solutions X1 = 14s 7t - 8, X2 = - 6s + 2t + 5, X3 = s, X4= t Consistent with infinitely many solutions X1 = - 7s + 2t +- 9, X2 = S, X3 = t - 1, X4= t O Consistent with a unique solution X1 = - 8, X2 = 3, X3 = 1, X4 = 2 O Consistent with a unique solution X1 = 2, X2 = 3, X3 = -1 , X4 = - 4
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