The solution to the system is the ordered triple (3, -4, 7).

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Here are 5 related questions:

1. How can you verify a solution to a system of linear equations?
2. What are the different methods for solving systems of linear equations?
3. How would the solution change if one of the coefficients were altered?
4. Can a system of three equations ever have more than one solution?
5. How does the determinant of the coefficient matrix help in solving systems?

Tip: Inconsistent systems have no solutions, often due to parallel planes (in 3D) or lines (in 2D).