Solve the following system of equations and give a geometrical interpretation of the result.
3x + y - z = 2
x - 2y + z = 0
x + 2y - z = 2

so I solved it and got (1,2,3), but I don't understand what they mean by give a geometrical interpretation of the result.

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  1. Each equation represents a plane. If there is a unique solution, they all intersect in a point.

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