Solve for point of intersection between two lines

[Awwsoomee (Awws)]

I have two CFrames and for this the x, z, yaw and pitch of the CFrames will be needed.
I want to calculate the point of intersection between the two points’ x and z without respect to y, e.g.

I need a way of solving the two lines simultaneously no matter the positions or orientations of P0 or P2.

Any help - let me know!

[BadDad2004]

That has been solved already. See here:

2 Line Intersection

Lets say that i want to know where 2 lines intersect (Resulting in Vector3). The lines are just two Vector3 position (start, end). Ignore Y axis. How to i should calculate that in a script? This Thead dont provided script examples and I dont understand it.