so I was looking through an old exam and this question was given:

The teachers answer was the point $(9, -9, 21)$
I tried solving this myself, I got $x = x$, $y = y$, but I could not find a point where all coordinates were equal on both lines.
At the point the teacher gave, the $z$ coordinates seem to not be equal for both lines. I'm asking this since I want to be sure because a teacher made this question/solution.
So my question is: Does the question not have a valid real solution?