(adsbygoogle = window.adsbygoogle || []).push({}); Discrete Math Help!!!

Here is the problem:

Supposea,b, andcare integers andx,y, andzare nonzero real numbers that satisfy the following equations:

[tex]\dfrac{xy}{x+y}=a [/tex] and [tex]\dfrac{xz}{x+z}=b [/tex] and [tex]\dfrac{yz}{y+z}=c [/tex].

Isxrational? If so, express it as a ratio of two integers.

I have calculated that [tex]x=\dfrac{-(bz-xz)}{b}[/tex]. I am inclined to answer no, since x, y, or z could be irrational.

Any help would be appreciated.

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# Homework Help: Discrete Math Help

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