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I randomly pick an integer between 1 and 10 inclusive.  What is the probablility that I choose a p such that there exists an integer q so that p and q satisfy the equation pq-2p-2q=2? Express your answer as a common fraction.

 Jun 7, 2021
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Choose a p?  What is a p? What are you talking about? 

I suppose p stands for pick and it is the number you have chosen.

 

ok

The easiest way is to make q the subject of that equation. 

Then substitute in each value of p. one at a time then count how many work.  

Put the number that work over 10 and you will have your answer.

 Jun 7, 2021

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