Another traffic pattern is shown below.

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  1. Once again, write a system of equations for the quantities \(x\text{,}\) \(y\text{,}\) \(z\text{,}\) and \(w\) and solve the system using the Sage cell below.

  2. What can you say about the solution of this linear system? Is there exactly one solution or infinitely many solutions? Explain why you would expect this given the information provided.

  3. What is the smallest amount of traffic flowing through \(x\text{?}\)