Answer:
(10,2)
Explanation:
It's simpler to evaluate the given points in the inequality system.
Starting with (16,9)
x+2y>= 10 results in 16+2*9 =34 >= 10 (this inequality is reached)
3x-4y>12 results in a contradiction, 3*16-4*9=12 > 12 (the inequality sign is not respected)
Continuing with (10,2)
x+2y>= 10 results in 10+2*2 =14 > 10 (this inequality is reached)
3x-4y>12 results in, 3*10-4*9=22 > 12 (the inequality sign is reached)
The point (10,2) is a solution for the system