Question

Hi, could someone solve this parametric system?

Answer 1

9514 1404 393

Answer:

  (x, y, z) = ((7 -2k)/(-31 +7k), (-29 +7k)/(-31 +7k), 1/(31 -7k))

Step-by-step explanation:

The system can be solved by any of your favorite methods. Treat k as you would any number.

My row reduction software says the solution is ...

  (x, y, z) = ((7 -2k)/(-31 +7k), (-29 +7k)/(-31 +7k), 1/(31 -7k))

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Clearly, k ≠ 31/7.

The augmented coefficient matrix is attached.