Euclidean Geometry #5

Geometry Level pending

In \(\mathbb{R}^3\) consider the line r whose equations are:

r \(\equiv\) {x - 2y - 2z = 1, x + 5y - z = 0}

and the plane \(\pi\) whose equation is \(\pi \equiv 2x + y +mz = n\). Find m, n and submit your answer as m + n, knowing that r is contained in \(\pi\)

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