Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist, enter DNE.) [ begin{array}{c} 6 x+7 y=10, quad frac{x-1}{7}= frac{y+1}{-6}=z-5 (x, y, z)=( end{array} ] Determine whether the line lies in the plane. The line lie in the plane.

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Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist, enter DNE.)  [  begin{array}{c} 6 x+7 y=10,  quad  frac{x-1}{7}= frac{y+1}{-6}=z-5    (x, y, z)=(  end{array}  ] Determine whether the line lies in the plane. The line lie in the plane.

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