Three planes can intersect in various ways: one point, one line, one plane, not at all.
This one has a unique solution.
Geometric interpretation - 3 planes meeting in the point $$(-2,1,2)$$.
(Check this point satisfies all 3 equations)
Solution is all the points on a line in parametric form.
Geometric interpretation: 3 planes intersect in a line.
The solution is all the points on the plane shown.
Geometric interpretation - The 3 equations are all the same plane!!
The is no solution. No point lies on all 3 planes.
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