SOLUTION: Please help solve: 5/z=7/z-1/5 Please show steps you took for completion. Thank you!

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Question 522598: Please help solve:
5/z=7/z-1/5
Please show steps you took for completion.
Thank you!

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
solve:
5%2Fz+=+7%2Fz+-+1%2F5
subtract 7/z from both sides
5%2Fz+-+7%2Fz+=+-1%2F5
combine like terms
-2%2Fz+=+-1%2F5
get rid of the negatives, mult both sides by -1
2%2Fz+=+1%2F5
Cross multiply
1z = 2(5)
z = 10
:
:
Check solution in original problem, replace z with 10
5%2F10+=+7%2F10+-+1%2F5
1/5 is 2/10
5%2F10+=+7%2F10+-+2%2F10