29-30 Show that the lines $L_1$ and $L_2$ intersect, and find their point of intersection.
29. $L_1$: $x = 2 + t$, $y = 2 + 3t$, $z = 3 + t$
$L_2$: $x = 2 + t$, $y = 3 + 4t$, $z = 4 + 2t$
30. $L_1$: $(x, y, z) = (-5, 7, 3) + t(4, -3, 1)$
$L_2$: $(x, y, z) = \left( -\frac{19}{4}, -\frac{3}{2}, 0 \right) + t(1, 4, 2)$