i have began this problem but now i am getting confused with the algebra at the end.

Problem (Write legibly, showing all the steps. Show how you derived the answer) 1. (15 points) A billiard ball of mass 130 g moving to the left at 2 m/s collides with another ball of mass 170 g which is at rest. Find their respective velocities after the collision. Assume, the collision is an elastic collision. Viir 21075 Vzi= om/s Vii= -2m/s 1309 = 0.13 kg my =0.17 m = 0.13 1709 = 0.17 kg kq kq Find Vis and Vzf LCM m, . vic + my. /zi = m,vix + myvzf = ym, Vii = m. Vif + mzVzf LCE Im, vic ? + *m/v 2 = *mi vit ? + Emavid mivic = m , vif + m2vzf Vif = mivic - mzvit m . (0-13) ( - 2 ) - (0 .17 ) V26 2 (0-13) ( -2 ) 2 = (0. 13 ) 0 . 13 + (0. 17 ) ( V2F ) 0.52 = 1.42V 0.52 = 159V, 2 0 . 327 = V2F = 0.512 215