# Problem 5. Suppose a, b, c are integers and x, y, z are real so tha...

## Transcribed Text

Problem 5. Suppose a, b, c are integers and x, y, z are real so that xy x + y = a, xz x + z = b, and yz y + z = c Is x ∈ Q? If so, prove it. If not, give a counterexample. Hint: Be careful here, there are several cases to consider. Make sure you’ve considered all of them carefully

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