The figure shows the flow of traffic (in vehicles per hour) through a network of streets. 400 600 X2 X4 X3 300 100 X5 (a) Solve this system for xj, i = 1, 2, ..., 5. (If the system has an infinite number of solutions, express x1, X2, X3, X4, and x5 in terms of the parameters s and t.) (X1, X2, X3, X4, x5) = (b) Find the traffic flow when X3 = 0 and x5 = 20. (X1, X2, X3, X4, X5) = (c) Find the traffic flow when x3 = X5 = 70. (X1, X2, X3, X4, X5) =

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.2: Guassian Elimination And Matrix Methods
Problem 85E
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The figure shows the flow of traffic (in vehicles per hour) through a network of streets.
400
600
X2
X4
X3
300
100
X5
(a) Solve this system for xj, i = 1, 2, ..., 5. (If the system has an infinite number of solutions, express x1, X2, x3, X4, and x5 in terms of the parameters s and t.)
(Х1, X2, Хз, Х4, X5)
(b) Find the traffic flow when x3 = 0 and x5 = 20.
(X1, X2, X3, X4, X5) =
(c) Find the traffic flow when x3 = X5 = 70.
(х1, X2, Х3, Х4, Xs) %3D
Transcribed Image Text:The figure shows the flow of traffic (in vehicles per hour) through a network of streets. 400 600 X2 X4 X3 300 100 X5 (a) Solve this system for xj, i = 1, 2, ..., 5. (If the system has an infinite number of solutions, express x1, X2, x3, X4, and x5 in terms of the parameters s and t.) (Х1, X2, Хз, Х4, X5) (b) Find the traffic flow when x3 = 0 and x5 = 20. (X1, X2, X3, X4, X5) = (c) Find the traffic flow when x3 = X5 = 70. (х1, X2, Х3, Х4, Xs) %3D
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