Conservation (2D)

The following takes place in two dimensions.

A particle of mass $M = 5 \, \text{kg}$ collides with another particle of mass $m = 1 \, \text{kg}$ . The pre-collision velocities are given below:

$\large{v_{Mx} = +1 \, m/s \\ v_{My} = +2 \, m/s \\ v_{mx} = -2 \, m/s \\ v_{my} = +3 \, m/s}$

The collision preserves the total kinetic energy, and both particles have equal kinetic energy after the collision. Additionally, the $x$ velocities of both particles are positive after the collision.

Determine the $x$ velocity of the more massive particle after the collision.