Answer:
(3, -3)
Step-by-step explanation:
A point qualifies as a solution to a system of inequalities if it is true when both of its x and y values are substituted into the both inequalities. Knowing this, let's plug in the first option, (3, -3), into both inequalities.
Let's try 6x + 3y > 3 first. Substitute 3 for x and -3 for y:
[tex]6 (3) + 3 (-3) > 3\\18 - 9 > 3\\9 > 3[/tex]
9 is bigger than 3, so (3, -3) is a solution to that inequality.
Let's try [tex]x -y \geq 4[/tex]. Do the same, substituting the same values:
[tex]3 - (-3) \geq 4\\3 + 3 \geq 4\\6\geq 4[/tex]
6 is bigger than 4, so (3, -3) is a solution to that inequality too.
Since (3, -3) is a solution to both inequalities, it must be the answer.
