Does the ordered pair (6,−7) satisfy the following system of inequalities?

Question

−10x−4y≤−5

y≤3x/5−2

Answer 1

plug (6,-7) into each inequality

x=6, y=-7

-10(6) -4(-7) < -5

-60+28 = -32 < -5

the point satisfies the 1st inequality.

plug it into the 2nd inequality, and it also satisfies it