Solving Momentum and Kinetic Energy Relations

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Garen
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Homework Statement


Selfie photo of a young woman in a dark blue top and a gold necklace, pursing her lips in a kiss while holding one hand out, outdoors on green grass.

Homework Equations


Equations: ½m1v1,i² + ½m2v2,i² = ½m1v1,f² + ½m2v2,f², the kinetic energy conservation relation for an elastic collision.


[PLAIN]http://upload.wikimedia.org/math/7/7/4/7745116605c54295c6c3b696cea2d39f.png[/CENTER][/URL]

The Attempt at a Solution


I have gotten these problems wrong too many times. I know that I have to apply both the conservations of momentum and kinetic energy, but for some reason I can't come up with the right answer.

m1=21.3g v1=24.6cm/s
m2=11.6g v2=11.3cm/s

I don't know how to solve these relations with two unknowns. I've tried using substitution from the kinetic energy equation, but I still got it wrong for some reason. Any help for a desperate physics student?​
 
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Anyone know where I'm going wrong?
 
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Maybe someone can refer me to another website to answer these questions?