The most accurate conclusion about the condition of both substances before conduction occurred is:
Substance X’s molecules were faster than substance Y’s.
This conclusion can be drawn because thermal energy flows from a substance with higher molecular energy (and therefore higher temperature) to a substance with lower molecular energy (and lower temperature). If substance X is transferring thermal energy to substance Y through conduction, it indicates that substance X is at a higher temperature, meaning its molecules are moving faster than those of substance Y.