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.
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.
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.