Solving Linear Equations

Given the following planes, determine algebraically whether or not this system of equations has a solution.
2x-y-6z=5
(x-1, y-1, z-6) times (3, 1, 1) = 0; and
(x,y,z) = (0,8,9) + s(1, -2, -1) + t(-3,6,3)

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