linear algebra

plz explain each step of the problem

Systems of Equations - Traffic Flow Below is a network of one-way streets and traffic flow rates in vehicles per hour in each section of the roads. For instance, traffic comes into this area on Huntington Ave. at 400 vehicles per hour and leaves the area on Huntington Ave. at 500 vehicles per hour. The flow rate of traffic on Mckean Ave. between Nash St. and Burke St. is represented by the variable x6. Nash St. Burke St. Martin St. A B B 400 500 Huntington Ave. 400 500 Mckean Ave. The letters A, B, and Care based on your student ID. A = 325; B =180; C = 245 Answer the questions below based on your student ID values of A, B, and C. Questions 3-6 require complete sentences and explanations of your answer. Include your name and drawing with your numbers in the places of A, B, and C. (10 points) 1. Write the system of equations that models the traffic flow in this area (there are six equations - one for each intersection and seven variables -x). Convert the equations in into an augmented matrix. Use Computer Algebra System such Wolfram Alpha, Symbolah, or something similar to write the augmented matrix in reduced row-echelon form. (30 points) 2. Write the complete solution set of the system of equations. (10 points) 3. What is the smallest possible flow of traffic on Mckean Ave. between Burke St. and Martin St.? Explain. (10 points) 4. What is the largest possible flow of traffic on Nash St. between Huntington Ave. and Mckean Ave.? Explain. (10 points) 5. Name all sections of roads and all combinations of sections of roads that can be closed (i.e. have a traffic flow rate = 0) (20 points) 6. Suppose we want the flow of traffic on Burke St. between Huntington Ave. and Mckean Ave. to be under 100 vehicles per hour. What restrictions must be put in place in order to make that happen? (10 points)