Troubleshooting a Two Mass Interaction Problem in Scientific Research

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Black Riven
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All the information is in the attachment.
The problem I'm having is that I can't seem to satisfy the equations correctly, and I can't figure out why. Am I doing this right?
 

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Is there something missing in my post? I'm pretty sure I gave all the information in the attachment but let me know if I need to change something. This problem is really bothering me.