Is (10,-10) a common solution for x-5> 3 and -y> 7?

is it?  let's check.

x-5>3     x = 10

(10) - 5 > 3

5 > 3      <----- hmmm is that really true?  5 is indeed greater than 3.

let's check the other condition, "y" being -10.

-y > 7      y = -10

-(-10) > 7

+10 > 7   <---- is 10 greater than 7 really?  well, yes it is.

since the coordinates of 10, -10, provide a "true" value for each inequality, then 10,-10 is a solution.