Final answer:
A direct answer cannot be provided as the solution to the given system of equations does not match any of the provided answer options, indicating a possible error in the question. Further clarification is needed.
Step-by-step explanation:
To solve the system of equations x y = 10 and -3x (3/4)y = -7.5, we use a substitution or elimination method. However, for this problem substitution can be easily applied since the first equation has products of x and y set to a constant. From the first equation, we can express y as y = 10/x. Substituting into the second equation, we get -3x (3/4)(10/x) = -7.5, which simplifies to -22.5/x = -7.5. Solving for x, we find x = 3.
Substitute x back into the first equation to find y: y = 10/3. But neither of these values matches the given options, implying there is likely a mistake in the calculations or in the given options.
After re-evaluating the problem, it seems there has been a calculation error as we should multiply -3x by (3/4)y which would give us -2.25y = -7.5, and solving for y gives us y = 3.33, which still doesn't match the given answer choices, thus there seems to be a miscommunication either in the presented system of equations or in the answer choices provided.