Let \( (x, y, z) \) be points with integer coordinates satisfying the system of homogeneous equa... VIDEO
Let \( (x, y, z) \) be points with integer coordinates satisfying the system of homogeneous equations:
\[
\begin{array}{l}
3 x-y-z=0 \\
-3 x+z=0 \\
-3 x+2 y+z=0
\end{array}
\]
Then the number of such points for which \( x^{2}+y^{2}+z^{2} \leq 100 \) is
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