# 3 Intersecting Planes

Geometry Level pending

Find the sum of the coordinates of the common point of planes $$\Pi _{1}$$ (which is formed from line $$l$$ and point $$A$$), $$\Pi _{2}$$ and $$\Pi _{3}$$.

$$l:\frac{x-2}{5}=\frac{4-y}{2}=-3-z$$

$$A:\begin{pmatrix} 8\\ 2\\ 1 \end{pmatrix}$$

$$\Pi _{2}:-3x+20y-15z=1$$

$$\Pi _{3}:3x+y-z=9$$

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