Solve the system of linear equation below using a suitable method. 1 2 0V 0 9 6 8. '5) %3D 4

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.4: Solving Nonlinear Systems Of Equations
Problem 62E
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Question
Q2
(а)
Solve the system of linear equation below using a suitable method.
(1
'5
0 9
6.
y
4
=
17
8.
3,
To find the number of shoes, a company should manufacture per day to
optimally use their machine and assembly line. One needs to solve the
following set of equations. The unknowns are the number for men, x1,
women, x2, teenagers, x3, and infants, x4.
(b)
10х, — х2 + 2х; 3 6
-X1 + 11x2 – X3 + 3x4 = 25
2х, — х2 + 10хз — х4 %3—11
3x2 - x3 + 8x4 = 15
Find approximate solutions to x1, x2, X3, and x4. Starting with x (0, 0, 0,
0)T and iterating until
||x(«) – x(*-1)|.
< 10-3
||x(K) || o
Transcribed Image Text:Q2 (а) Solve the system of linear equation below using a suitable method. (1 '5 0 9 6. y 4 = 17 8. 3, To find the number of shoes, a company should manufacture per day to optimally use their machine and assembly line. One needs to solve the following set of equations. The unknowns are the number for men, x1, women, x2, teenagers, x3, and infants, x4. (b) 10х, — х2 + 2х; 3 6 -X1 + 11x2 – X3 + 3x4 = 25 2х, — х2 + 10хз — х4 %3—11 3x2 - x3 + 8x4 = 15 Find approximate solutions to x1, x2, X3, and x4. Starting with x (0, 0, 0, 0)T and iterating until ||x(«) – x(*-1)|. < 10-3 ||x(K) || o
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