Using the Commutative Property, prove that these algebraic expressions are equivalent. In 1-2 sentences, explain your result.

Question

Expression 1: y * 3x
Expression 2: 3xy.

Answer 1

To prove that the expressions \( y * 3x \) and \( 3xy \) are equivalent using the Commutative Property, we can rearrange the terms in Expression 1:

\[ y * 3x = 3 * y * x = 3xy. \]

Thus, both expressions yield the same result. This demonstrates that the order of multiplication does not affect the product, confirming their equivalence.