<h3>
Answer: No, it is not a solution</h3>
Explanation:
Plug (x,y) = (5,-5) into the first inequality and simplify
8x-3y < 4
8(5) - 3(-5) < 4 ... x replaced with 5, y replaced with -5
40 + 15 < 4
55 < 4 ... this is false as 55 is not smaller than 4
We get a false statement after simplifying both sides. Therefore, (5,-5) is not a solution to the system of inequalities. For it to be a solution, it would need to make both inequalities true after plugging in the x and y coordinates.
We don't need to check the other inequality since the first inequality was shown to be false.