Find the coordinates of the point where the line through $(3, – 4, – 5)$ and $(2, – 3, 1)$ crosses the plane $2x + y + z = 7.$

Question

$\begin{array}{1 1}(1,-2,7) \\ (5,-6,-17) \\ (0,-1,13) \\(6,-7,-23) \end{array} $