Write down the general solution of the associated system of linear equations. (Assume x = traffic flow along April, y = traffic flow along Division, z = traffic flow along Broadway, and w = traffic flow along Embankment. If there is no solution, enter NO SOLUTION. If the system is dependent, express your answer using the parameters x, y, z, and/or w.)

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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The traffic through downtown East Podunk flows through the one-way system shown below.
Traffic counters find that 300 vehicles enter town from the west each hour, and 300 leave town toward the east each hour. Also, 100 cars drive down Canal Street each hour.
A diamond shaped traffic flow is given.
  • 300 cars enter the diamond from the west.
  • The upper left portion of the diamond is labeled April and has traffic flow northeast.
  • The upper right portion of the diamond is labeled Division and has traffic flow southeast.
  • The lower left portion of the diamond is labeled Broadway and has traffic flow southeast.
  • The lower right portion of the diamond is labeled Embankment and has traffic flow northeast.
  • A traffic flow going south starting from the intersection of April and Division and ending at the intersection of Broadway and Embankment is labeled Canal and has 100 cars driving on it.
  • Finally, 300 cars exit the diamond to the east.
(a)
Write down the general solution of the associated system of linear equations. (Assume x = traffic flow along April, y = traffic flow along Division, z = traffic flow along Broadway, and w = traffic flow along Embankment. If there is no solution, enter NO SOLUTION. If the system is dependent, express your answer using the parameters x, y, z, and/or w.)
 
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