Choose all correct answers. Which of the following ordered pairs are solutions of the system, y =x-4

(6,3)
(4,0)***
(3,-1)*****
(2,-4)

Please help

correct

To determine which of the given ordered pairs are solutions of the system, we substitute the values of x and y from each ordered pair into the equation y = x - 4 and then check if the equation holds true.

Let's check each ordered pair:

1. (6, 3)
Substituting x = 6 and y = 3 into the equation y = x - 4:
3 = 6 - 4
3 = 2 (This is not true, so (6, 3) is not a solution to the system).

2. (4, 0)
Substituting x = 4 and y = 0 into the equation y = x - 4:
0 = 4 - 4
0 = 0 (This is true, so (4, 0) is a solution to the system).

3. (3, -1)
Substituting x = 3 and y = -1 into the equation y = x - 4:
-1 = 3 - 4
-1 = -1 (This is true, so (3, -1) is a solution to the system).

4. (2, -4)
Substituting x = 2 and y = -4 into the equation y = x - 4:
-4 = 2 - 4
-4 = -2 (This is not true, so (2, -4) is not a solution to the system).

Based on our calculations, the correct answers are:
(4, 0) and (3, -1).
Hence, the correct options are (4, 0) and (3, -1).