An irrigation system allows water to flow in the pattern shown in the figure below. Water flows into the system at A and exits at B,C, D and E with the amounts shown. Using the fact that at each point the water entering equals the water leaving, formulate an equation for water flow at each of the five points and solve the system for the five variables which represent the amounts of water flow.
An irrigation system allows water to flow in the pattern shown in the figure below. Water flows into the system at A and exits at B,C, D and E with the amounts shown. Using the fact that at each point the water entering equals the water leaving, formulate an equation for water flow at each of the five points and solve the system for the five variables which represent the amounts of water flow.
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
Chapter12: Quadratic Functions
Section12.6: Solving Problems Involving Quadratic Equations
Problem 1.1E
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An irrigation system allows water to flow in the pattern shown in the figure below. Water flows into the system at A and exits at B,C, D and E with the amounts shown. Using the fact that at each point the water entering equals the water leaving, formulate an equation for water flow at each of the five points and solve the system for the five variables which represent the amounts of water flow.
Using RREF
Transcribed Image Text:A
В
Out
In
500,000 gal/hr
x2
50,000 gal/hr
X4
x5
D
C
X3
Out
Out
200,000 gal/hr
E
50,000 gal/hr Out
200,000 gal/hr
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Given that eater flows into the system at A and exits at B,C, D and E with the amounts shown.
VIEWWe formulate the equation for water flow at each points:
VIEWTherefore, the augmented matrix is
VIEWWe further reduce the matrix,
VIEWThe matrix can't be reduced further, so the matrix obtained above is the final result.
VIEW
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