Explanation
Statement (1) Factoring x2 − 15x + 50 = 0 gives us (x − 10)(x − 5) = 0. Since x could be 5 or 10, and we don't know y, this statement alone is insufficient.
The correct answer could be B, C, or E.
Statement (2) Subtracting 5 from both sides and factoring gives us y(y − 10) = 0. Since y could be 0 or 10, and we don't know x, this statement alone is insufficient.
The correct answer must be C or E.
Statement (1 & 2) Taken together, we have x = 5 or 10 and y = 0 or 10. Since the possible values for xy are 0, 50, or 100, the statements together are insufficient.
The correct choice is E.