Which ordered pair is a solution of the equation y = x -3?

A. (-2, 5)
B. (-5, 2)
C. (2, 5)
D. (5, 2)

just check the pairs.

Is 5 = -2-3 ? Nope.
Now try the others

To determine which ordered pair is a solution of the equation y = x - 3, we need to substitute the x and y values of each ordered pair into the equation and see if the equation holds true.

Let's go through each option:

A. (-2, 5)
Substituting x = -2 and y = 5 into the equation, we get: 5 = -2 - 3, which simplifies to 5 = -5. This is not true, so (A) is not a solution.

B. (-5, 2)
Substituting x = -5 and y = 2 into the equation, we get: 2 = -5 - 3, which simplifies to 2 = -8. This is not true, so (B) is not a solution.

C. (2, 5)
Substituting x = 2 and y = 5 into the equation, we get: 5 = 2 - 3, which simplifies to 5 = -1. This is not true, so (C) is not a solution.

D. (5, 2)
Substituting x = 5 and y = 2 into the equation, we get: 2 = 5 - 3, which simplifies to 2 = 2. This is true, so (D) is a solution.

Therefore, the ordered pair that is a solution of the equation y = x - 3 is (D) (5, 2).