Final answer:
After substituting the x and y values of each ordered pair into the equation -3x - 7y = 37, none of the provided options A) (5, -4), B) (-4, 5), C) (7, -5), or D) (-5, 7) result in the equation being true. Therefore, none of the given options is a solution.
Step-by-step explanation:
To determine which ordered pair is a solution to the equation -3x - 7y = 37, we substitute the x and y values from each option into the equation and see if the equation holds true.
- For option A) (5, -4), we get -3(5) - 7(-4) = -15 + 28 = 13, which is not equal to 37.
- For option B) (-4, 5), we get -3(-4) - 7(5) = 12 - 35 = -23, which is also not equal to 37.
- For option C) (7, -5), we get -3(7) - 7(-5) = -21 + 35 = 14, which is not equal to 37.
- For option D) (-5, 7), we get -3(-5) - 7(7) = 15 - 49 = -34, which is not equal to 37.
None of the provided ordered pairs satisfy the given equation, so there must be an error, or the correct solution is not listed among the options provided.