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The figure shows the flow of traffic (in vehicles per hour) through a network of streets. X1 400 -600 x2. X4 300- -100 x5 (a) Solve this system for x₁, 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) = (L 400+s,s,300-s-t,100-t,t (b) Find the traffic flow when X3 = 0 and X5 = 40. (X1, X2, X3, X4, X5) = = (660,260,0,60,40 ) (c) Find the traffic flow when x3 = X5 = 30. (X1, X2, X3, X4, X5) = (670,270,30,70,30 ) X3

The figure shows the flow of traffic (in vehicles per hour) through a network of streets. X1 400 -600 x2. X4 300- -100 x5 (a) Solve this system for x₁, 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) = (L 400+s,s,300-s-t,100-t,t (b) Find the traffic flow when X3 = 0 and X5 = 40. (X1, X2, X3, X4, X5) = = (660,260,0,60,40 ) (c) Find the traffic flow when x3 = X5 = 30. (X1, X2, X3, X4, X5) = (670,270,30,70,30 ) X3

College Algebra (MindTap Course List)
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 86E
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The figure shows the flow of traffic (in vehicles per hour) through a network of streets. X1 400 600 x2. X4 300- -100 x5 (a) Solve this system for x₁, 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) = (L 400+$,$,300-s-t,100-t,t (b) Find the traffic flow when X3 = 0 and x5 = 40. (X1, X2, X3, X4, X5) = =(660,260,0,60,40 ) (c) Find the traffic flow when x3 = X5 = 30. (X1, X2, X3, X4, X5) = (670,270,30,70,30 ) X3
Transcribed Image Text:The figure shows the flow of traffic (in vehicles per hour) through a network of streets. X1 400 600 x2. X4 300- -100 x5 (a) Solve this system for x₁, 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) = (L 400+$,$,300-s-t,100-t,t (b) Find the traffic flow when X3 = 0 and x5 = 40. (X1, X2, X3, X4, X5) = =(660,260,0,60,40 ) (c) Find the traffic flow when x3 = X5 = 30. (X1, X2, X3, X4, X5) = (670,270,30,70,30 ) X3
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