Final answer:
The ordered pair (-4, -2) is a solution to the system of linear equations -3x + 4y = 4 and y = -x -6.
Step-by-step explanation:
To determine if the ordered pair (-4, -2) is a solution of the system of linear equations -3x + 4y = 4 and y = -x -6, we substitute the values of x and y into both equations.
Substituting x = -4 and y = -2 into the first equation:
-3(-4) + 4(-2) = 4
12 - 8 = 4
4 = 4
The first equation is true when x = -4 and y = -2.
Substituting x = -4 and y = -2 into the second equation:
-2 = -(-4) - 6
-2 = 4 - 6
-2 = -2
The second equation is true when x = -4 and y = -2.
Therefore, the ordered pair (-4, -2) is a solution to the system of linear equations.