Solve the problem using matrices.The figure below shows the intersection of three one-way streets. To keep traffic moving, the number of cars per minute entering an intersection must equal the number of cars leaving that intersection. Set up a system of equations that keeps traffic moving, and use Gaussian elimination to solve the system. If construction limits z to t cars per minute, how many cars per minute must pass through the other intersections to keep traffic moving?
A. t + 1 cars/min between I2 and I1; t + 4 cars/min between I1 and I3
B. t + 2 cars/min between I2 and I1; t - 3 cars/min between I1 and I3
C. t + 8 cars/min between I2 and I1; t + 3 cars/min between I1 and I3
D. t - 2 cars/min between I2 and I1; t + 1 cars/min between I1 and I3
Answer: C
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