Use your ordered solution obtained in Exercise 31 to solve this exercise. If construction limits z to 4 cars per minute, how many cars per minute must pass between the other intersections to keep traffic flowing?

Data from exercise 31

Use Gaussian elimination to solve the system formed by the equation given prior to Exercise 29 and the two equations that you obtained in Exercises 29–30.

Data from exercise 29

The figure for Exercises 29–32 shows the intersections of three one-way streets. To keep traffic moving, the number of cars per minute entering an intersection must equal the number exiting that intersection. For intersection I₁, x + 10 cars enter and y + 14 cars exit per minute. Thus, x + 10 = y + 14.

Write an equation for intersection I₂ that keeps traffic moving.

Data from exercise 30

The figure for Exercises 29–32 shows the intersections of three one-way streets. To keep traffic moving, the number of cars per minute entering an intersection must equal the number exiting that intersection. For intersection I₁, x + 10 cars enter and y + 14 cars exit per minute. Thus, x + 10 = y + 14.

Write an equation for intersection I₃ that keeps traffic moving.

10 Cars/min 14 Cars/min 1 (CD) 6 Cars/min CINDO X 13 1000 8 Cars/min 12 6 Cars/min 12 Cars/min