Question: Decide whether the following set of equations has a solution. Solve the equations if it does: 3x + 4y + z = 13, 4x +

Decide whether the following set of equations has a solution. Solve the equations if it does:
3x + 4y + z = 13,
4x + 3y + 2z = 10,
7x + 7y + 3z = 23.

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