Metal chloride solubility characteristics:
x must be water soluble at room temperature, y must be sparingly soluble at room temperature, and z must be soluble in hot water but not in cold water.
CuCl₂ is highly soluble in water (x).
AgCl is notoriously insoluble in water and sparingly soluble at any temperature, classifying it as sparingly soluble (y).
PbCl₂ exhibits unusual solubility behavior—it is sparingly soluble in cold water but its solubility increases with temperature, making it soluble in hot water (z).
This combination perfectly matches all three criteria.