Final answer:
The ordered pair (-5, -4) is a solution of the system (3x - y = -11) and (12x - 2y = -3).
Step-by-step explanation:
To determine whether the ordered pair (-5, -4) is a solution of the system (3x - y = -11) and (12x - 2y = -3), we substitute x = -5 and y = -4 into both equations and check if the equations are true.
For the first equation, we have 3(-5) - (-4) = -11, which simplifies to -15 + 4 = -11. This is true.
For the second equation, we have 12(-5) - 2(-4) = -3, which simplifies to -60 + 8 = -3. This is also true.
Since both equations are true when we substitute x = -5 and y = -4, the ordered pair (-5, -4) is indeed a solution of the system.