The answer is B. (6, 0)
Let's check all solutions
A. (0, 6)
a = 0
b = 6
4a – 5b = 24
4*0 - 5*6 = 24
0 - 30 = 24
-30 = 24
INCORRECT
B. (6,0)
a = 6
b = 0
4a – 5b = 24
4*6 - 5*0 = 24
24 - 0 = 24
24 = 24
CORRECT
C. (-5, - 2)
a = -5
b = -2
4a – 5b = 24
4*(-5) - 5*(-2) = 24
-20 + 10 = 24
-10 = 24
INCORRECT
D. (-2, -5)
a = -2
b = -5
4a – 5b = 24
4*(-2) - 5*(-5) = 24
-8 + 25 = 24
17 = 24
INCORRECT