2. Using the information in the table, set up a system of linear equations that governs the flow in the network.

3. Rewrite the system of equations in the previous step as an augmented matrix.

4. For this type of problem, the best description of the general solution uses the style of Section 1.2 rather than parametric vector form. Please answer the following.

(a) Find the general solution of the linear system in the previous step. For full credit, show all your work!

(b) Assuming that the flows are all nonnegative, what is the largest possible value for x3?

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