Is (4 -3) a solution of this system 3x - 3y 21 5x plus 4y 24?

To determine if (4, -3) is a solution to the system, we need to substitute x = 4 and y = -3 into both equations.

1. For the first equation (3x - 3y = 21): (3(4) - 3(-3) = 12 + 9 = 21) (True)

2. For the second equation (5x + 4y = 24): (5(4) + 4(-3) = 20 - 12 = 8) (False)

Since (4, -3) does not satisfy the second equation, it is not a solution to the system.