# That's easy one !!! 3

Level pending

Let (x, y, z) be points with integer coordinates satisfying the system of homogeneous equations: 3x − y − z = 0 , − 3x + z = 0 , −3x + 2y +z = 0,Then the number of such points for which,$${ x }_{ }^{ 2 }+y{ }_{ }^{ 2 }+z{ }_{ }^{ 2 }\le 100$$.Let the number of points be 'n', then find $$(n+10){ }_{ }^{ 3 }$$.

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