The accompanying figure shows known flow rates of hydrocarbons into and out of a network of pipes at an oil refinery. 200 E X3 D 150 X5 X6 200 25 в A175 C (a) Set up a linear system whose solution provides the unknown flow rates. 25 175 X 3 Find A so that A y where 7 = and y = 200 X4 150 200 Form the system so that the first equation represents node A, the second equation node B, etc. Then take all the variable to one side such that all the constants are on one side and positive. From the equations form the required matrices and enter the appropriate values for A below. A =

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.5: Systems Involving Nonlinear Equations
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The accompanying figure shows known flow rates of hydrocarbons into and out of a network of pipes at an oil refinery.
200
X3
150
E
D
X5
X6
200
25
B
A175 C
(a) Set up a linear system whose solution provides the unknown flow rates.
25
X2
175
ý where ?
and y = 200
X4
Find A so that A
150
X5
200
Form the system so that the first equation represents node A, the second equation node B, etc. Then take all the variable to one side
such that all the constants are on one side and positive. From the equations form the required matrices and enter the appropriate
values for A below.
A =
i
Transcribed Image Text:The accompanying figure shows known flow rates of hydrocarbons into and out of a network of pipes at an oil refinery. 200 X3 150 E D X5 X6 200 25 B A175 C (a) Set up a linear system whose solution provides the unknown flow rates. 25 X2 175 ý where ? and y = 200 X4 Find A so that A 150 X5 200 Form the system so that the first equation represents node A, the second equation node B, etc. Then take all the variable to one side such that all the constants are on one side and positive. From the equations form the required matrices and enter the appropriate values for A below. A = i
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