The fi gure shows the intersections of three oneway

Chapter 8, Problem 12

(choose chapter or problem)

The fi gure shows the intersections of three oneway streets. The numbers given represent traffi c fl ow, in cars per hour, at a peak period (from 4 p.m. to 6 p.m.). a. Use the idea that the number of cars entering each intersection per hour must equal the number of cars leaving per hour to set up a system of linear equations involving x, y, and z. b. Use Gaussian elimination to solve the system. c. If construction limits the value of z to 400, how many cars per hour must pass between the other intersections to keep traffi c fl owing?

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