Answer:
(5, 8)
Step-by-step explanation:
A solution to a system of linear inequalities is a point that, when its x and y values are substituted into both inequalities, makes <u>both</u> of them true. (Knowing this, if a point makes one inequality true but not the other, it is not a solution to that specific system of linear inequalities.)
So, let's plug in the x and y values of (5, 8) into the inequality y > 3x - 7 and solve like so:
![(8) > 3(5) - 7 \\8 > 15 - 7 \\8 > 8](https://tex.z-dn.net/?f=%288%29%20%3E%203%285%29%20%20-%207%20%5C%5C8%20%3E%2015%20-%207%20%5C%5C8%20%3E%208)
However, 8 is equal to 8, not greater than it. So, we know that this point is not a solution to this inequality since it does not make it true, therefore (5, 8) is not a solution to the whole system.
Hope this helps!