Water is flowing through a network of pipes (in thousands of cubic meters per hour), as sha express X1, X2, X3, X4, X5, X6, and x7 in terms of the parameters s and t.) F₁- F₁- X4 (X1, X2, X3, X4, X5, X6, X7) = (a) Solve this system for the water flow represented by x₁, = 1, 2, ..., 7. - (C (b) Find the water flow when x₁ = x₂ = 200. (X1, X2, X3, X4, X5, X6, X7) = -F₂ (c) Find the water flow when x6 = X7 = 0. (X1, X2, X3, X4, X5, X6, X7) = (d) Find the water flow when x5 = 1000 and x6 = 0. (X1, X2, X3, X4, X5, X6, X7) =

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
Section9.7: Puzzle Problems
Problem 32P
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Water is flowing through a network of pipes (in thousands of cubic meters per hour), as shown in the figure. (Assume F₁ = 900 and F₂ = 800. If the system has an infinite number of solutions,
express X1, X2, X3, X4, X5, X6, and x7 in terms of the parameters s and t.)
(X1, X2, X3, X4, X5, X6, X7) =
X4
(a) Solve this system for the water flow represented by x₁, i = 1, 2, ..., 7.
- (C
(b) Find the water flow when
(X1, X2, X3, X4, X5, X6, X7) =
X5
A
x₁ = x2 = 200.
(c) Find the water flow when x6 x7 = 0.
(X1, X2, X3, X4, X5, X6, X7) =
(d) Find the water flow when x5 = 1000 and x6 = 0.
(X1, X2, X3, X4, X5, X6, X7) = |
Transcribed Image Text:Water is flowing through a network of pipes (in thousands of cubic meters per hour), as shown in the figure. (Assume F₁ = 900 and F₂ = 800. If the system has an infinite number of solutions, express X1, X2, X3, X4, X5, X6, and x7 in terms of the parameters s and t.) (X1, X2, X3, X4, X5, X6, X7) = X4 (a) Solve this system for the water flow represented by x₁, i = 1, 2, ..., 7. - (C (b) Find the water flow when (X1, X2, X3, X4, X5, X6, X7) = X5 A x₁ = x2 = 200. (c) Find the water flow when x6 x7 = 0. (X1, X2, X3, X4, X5, X6, X7) = (d) Find the water flow when x5 = 1000 and x6 = 0. (X1, X2, X3, X4, X5, X6, X7) = |
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