Suppose a, b, and c are integers and x, y, and z are nonzero real numbers that satisfy the following equations:(adsbygoogle = window.adsbygoogle || []).push({});

xy/x+y = a

xz/x+z = b

yz/y+z = c

Is x rational? If so, express it as a ratio of two integers.

I am pretty sure x is rational, but I don't know how to get the ratio. I am guessing the ratio uses a, b, or c. I tried solving for x, but that got me no where.

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# Homework Help: Rational Number Help

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