To determine if $(7, 4)$ is a solution to the system, we substitute $x = 7$ and $y = 4$ into both equations and see if both hold true.

The system is:

1. $4x - 5y = 8$
2. $4x + 3y = 40$

Substituting $(7, 4)$ into the first equation:

$4(7) - 5(4) = 28 - 20 = 8$ This is true for the first equation.

Substituting $(7, 4)$ into the second equation:

$4(7) + 3(4) = 28 + 12 = 40$ This is also true for the second equation.

Since both equations are satisfied, the ordered pair $(7, 4)$ is a solution to the system.

Answer: Yes