To prove that \( y \cdot 3x \) is equivalent to \( 3xy \) using the Commutative Property, we can rearrange the factors in the first expression:
- \( y \cdot 3x = 3 \cdot y \cdot x \) (by factoring out the 3).
- By the Commutative Property of multiplication, we can reorder the factors as \( 3 \cdot x \cdot y = 3xy \).
Thus, both expressions represent the same product. This demonstrates that the multiplication of numbers (or variables) can be rearranged without changing the outcome, confirming their equivalence.