finding ordered pairs

[polyfootballhoti]

The question says what are all ordered pairs of positive integers (x,y) which satisfy xy+6x-11=x^2. I have tried substitution of variables and guess and check and no luck so far can anyone help please?

 

[mmm4444bot]

You could start by solving the equation for y.

This gives you an expression in x.

Analyze that expression by asking yourself, "What integer values does x need to be in order for this expression to simplify to an integer?".

Please show your work and explain your thinking, if you would like more help with this exercise.