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5/x + 4/y =8. What are the values of x and y. Not sure how to get them separate in order to find each value.

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1). Find x
5/x + 4/y = 8.
xy( 5/x + 4/y ) = 8xy
5y + 4x = 8xy
5y = 8xy - 4x
5y = x(8y -4)
5y/(8y-4) = x. ANSWER 1
2). Find y
5/x + 4/y = 8
xy( 5/x + 4/y ) = 8xy
5y + 4x = 8xy
4x = 8xy - 5y
4x = y(8x - 5)
4x/(8x-5). = y. ANSWER 2

Helpful Fun Thanks for voting Comments (3)
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So I plug in either the x or the y into the origianl equation. How do I get the fraction on the bottom of a fraction a LCD?
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Will you ask this again and give me an example of what you mean? Reask it so other people can see it too.
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I was able to solve it. I had to solve it at the same time with another equation. Thank you for your input.
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