1. A network of six one-way streets (A,B,C,D,E,F) is shown in the following diagram where 100 cars per hour enter at streets A and B, 200 cars per hour enter at streets D and E, 50 cars per hour exit at streets A and C, and 250 cars per hour exit at streets E and F: 50 A C 100 B F D E 250 200 (a) (4 marks) Represent the flow of cars in this network using a system of linear equations, and represent the system using an augmented matrix. (b) (5 marks) Identify the rank of the system and find a possible solution.