The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution. 5 8 -1 2 5 000-4 34 000 0-28 O No solution x1 = -5x2 - 8x3 +9 X2 is free x3 = -4 X4 = x5-1 4 X5 = -4 O x1 = -5x2 - 8x3 +9 X2 is free X3 is free X4 = -4 X5 = -4 x1 = -5x2 - 8x3 + x4 - 2x5 + 5 X2 is free X3 is free X4 X5-1 X5 = -4

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 32E
Question
Question 20
The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution.
158-1 25
000-4 34
000 0-28
No solution
O x₁ = -5x2 - 8x3 + 9
X2 is free
x3 = -4
x4 =
3
X5 -1
X5 = -4
x1 = -5x2 - 8x3 + 9
X2 is free
x3 is free
X4 = -4
x5
= -4
x1 = -5x2 - 8x3 + x4 - 2x5 + 5
X2 is free
X3 is free
X4 =
X5 = -4
X5 - 1
Transcribed Image Text:Question 20 The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution. 158-1 25 000-4 34 000 0-28 No solution O x₁ = -5x2 - 8x3 + 9 X2 is free x3 = -4 x4 = 3 X5 -1 X5 = -4 x1 = -5x2 - 8x3 + 9 X2 is free x3 is free X4 = -4 x5 = -4 x1 = -5x2 - 8x3 + x4 - 2x5 + 5 X2 is free X3 is free X4 = X5 = -4 X5 - 1
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