The statements that are true about the ordered pair (-4, 0) and the system of equations are:
The ordered pair (-4, 0) is a solution to the first equation because it makes the first equation true.
The ordered pair (-4, 0) is not a solution to the system because it makes at least one of the equations false.
To verify statement 1, we substitute the values x = -4 and y = 0 into the first equation:
2x + y = -8
2(-4) + 0 = -8
-8 = -8
Since the equation is true when substituting the values, (-4, 0) is indeed a solution to the first equation.
To verify statement 3, we substitute the values x = -4 and y = 0 into the second equation:
x - y = -4
(-4) - 0 = -4
-4 = -4
Since the equation is true when substituting the values, (-4, 0) is also a solution to the second equation.
Therefore, statement 4 is also true:
4) The ordered pair (-4, 0) is a solution to the system because it makes both equations true.
In conclusion, statements 1, 3, and 4 are all true about the ordered pair (-4, 0) and the system of equations.