5. 27x + 6y-2 = 85, x+ y + 642 = 110, 6x + 15y + 22 = 72. %3D

Algebra and Trigonometry (MindTap Course List)
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Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter10: Systems Of Equations And Inequalities
Section10.CR: Chapter Review
Problem 1CC
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Question
B. Solve the following system of equations using the Gauss-Seidel iteration method.
Page | 22
Numerical Solution
to CE Problems
CH4. Solution of
Linear Equations
5. 27x + by – 2 = 85,
6. 4x + 2y + z = 14,
x + 5y – z = 10,
x + y + 8z = 20.
x + y + 542 = 110,
6x + 15y + 2z = 72.
(A.U. May/June 2006)
7. x + 3y + 52z = 173.61,
x - 27y + 22 = 71.31,
41x - 2y + 3z = 65.46. Start with x = 1, y = - 1, z = 3.
8. 20x - y - 22 = 17,
3x + 20y – 2 = - 18,
2x – 3y + 20z = 25.
Transcribed Image Text:B. Solve the following system of equations using the Gauss-Seidel iteration method. Page | 22 Numerical Solution to CE Problems CH4. Solution of Linear Equations 5. 27x + by – 2 = 85, 6. 4x + 2y + z = 14, x + 5y – z = 10, x + y + 8z = 20. x + y + 542 = 110, 6x + 15y + 2z = 72. (A.U. May/June 2006) 7. x + 3y + 52z = 173.61, x - 27y + 22 = 71.31, 41x - 2y + 3z = 65.46. Start with x = 1, y = - 1, z = 3. 8. 20x - y - 22 = 17, 3x + 20y – 2 = - 18, 2x – 3y + 20z = 25.
Solve for the following equations. Use the method indicated. Show a complete solution.
DIRECT METHODS
A. Solve the following system of equations by Gauss elimination method.
1. 10x - 2y + 32 = 23
2. 3.15x – 1.96y + 3.85z = 12.95
2r + 10y – 5z = - 53
2.13x + 5.12y - 2.89z = – 8.61
&r - 4y + 10z = 33.
5.92r + 3.05y + 2.15z = 6.88.
[2 1 1 2[x,
[2 2 1]
40 2 1x2
4.
3 2 2 0| 3
8.
4 3 3
[1 1 1
13 2 6| x.
Transcribed Image Text:Solve for the following equations. Use the method indicated. Show a complete solution. DIRECT METHODS A. Solve the following system of equations by Gauss elimination method. 1. 10x - 2y + 32 = 23 2. 3.15x – 1.96y + 3.85z = 12.95 2r + 10y – 5z = - 53 2.13x + 5.12y - 2.89z = – 8.61 &r - 4y + 10z = 33. 5.92r + 3.05y + 2.15z = 6.88. [2 1 1 2[x, [2 2 1] 40 2 1x2 4. 3 2 2 0| 3 8. 4 3 3 [1 1 1 13 2 6| x.
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