Final answer:
The solution to the equation X - Y = 6 is the ordered pair (c) (4, -2), as it is the only one that satisfies the equation when the values are substituted in.
Step-by-step explanation:
The task is to find which ordered pair is a solution to the equation X - Y = 6. Checking each option step-by-step:
- For (a) (1, -4), substitute into the equation: 1 - (-4) = 1 + 4 = 5. This does not equal 6, so (a) is not a solution.
- For (b) (-2, -3), substitute into the equation: (-2) - (-3) = -2 + 3 = 1. This does not equal 6, so (b) is not a solution.
- For (c) (4, -2), substitute into the equation: 4 - (-2) = 4 + 2 = 6. This equals 6, so (c) is a solution.
- For (d) (3, -2), substitute into the equation: 3 - (-2) = 3 + 2 = 5. This does not equal 6, so (d) is not a solution.
Therefore, the answer is (c) (4, -2) as it satisfies the equation X - Y = 6.