Deriving the momentum and kinetic energy equation

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Homework Statement



Can someone show me how equation 9.21 was derived?? I messed up on my calculations

Homework Equations



Pi=Pf
Ki=Kf

The Attempt at a Solution



I don't know where i went wrong in terms of substituting 2 unknowns
 

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Multiply 9.20 by m1 and add 9.16. The v1f term disappears allowing you to solve for v2f. Similarly for solving for v1f.