Fiad the complete Solution of the linear System $8 S 1 Xy-N 5 4y +2=4 -X+ y-42 IS

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 20E
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Fiad the complete
Solution of the linear
System
$8
S 1
Xy-N 5
4y +2=4
-X+ y-42 IS
Transcribed Image Text:Fiad the complete Solution of the linear System $8 S 1 Xy-N 5 4y +2=4 -X+ y-42 IS
Expert Solution
Step 1

The given linear system is,

[x-y-z=5
4y+z= 4
|-x+y-4z = 15
Step 2

The augmented matrix for the given system of equations is,

1
-1 -1 5
0 4
1
4
-1
1
-4 15
Step 3

Applying the row operations,

5
1
-1 -1
4 RRR)
04
1
0
0
-5 20
-1 -1 5
1
R
4
0 1
4
1
0 0
-5 20
1 -1-1 5
1
0 1
R
4
1
5
0 0 1
-4
L
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