Could you help me with this question please?

5. Consider the following traffic flow network: 30 60 X1 X3 X5 X4 50 X6 40 (a) Construct a system of linear equations that balance the traffic flow in this network. (b) Find the general solution of this linear system, and express this general solution as a particular solution plus a vector from the null space of the coefficient matrix. (c) Find the basis of the null space of the coefficient matrix, and interpret each basis vector as a loop in the network. (d) Show that there is a unique solution that balances the traffic flow with AE and BE closed for repair such that all flows are nonnegative (i.e., there is no need to reverse the direction of the traffic at any of the branches). (e) Interpret this unique solution in terms of adding traffic along some loops to the particular solution found in (b)