The accompanying figure shows known flow rates of hydrocarbons into and out of a network of pipes at an oil refinery. X3 150 200 E D X5 X4 X6 200 25 B A175 C A X2 (a) Set up a linear system whose solution provides the unknown flow rates. X1 25 175 Find A so thatA ? V where X = X 3 and V 200 X4 150 X5 200 X6 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. i i i i i i i i A = i i i i i i i i i i i i i i

The accompanying figure shows known flow rates of hydrocarbons into and out of a network of pipes at an oil refinery. X3 150 200 E D X5 X4 X6 200 25 B A175 C A X2 (a) Set up a linear system whose solution provides the unknown flow rates. X1 25 175 Find A so thatA ? V where X = X 3 and V 200 X4 150 X5 200 X6 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. i i i i i i i i A = i i i i i i i i i i i i i i

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter9: Systems Of Linear Equations

Section9.1: The Graphing Method

Problem 4CE

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