Using the Commutative Property, prove that these algebraic expressions are equivalent. In 1–2 sentences, explain your result. y times 3x 3xy

Answer 1

To prove that the expressions \( y \times 3x \) and \( 3xy \) are equivalent using the Commutative Property, we can rearrange \( y \times 3x \) as follows:

\[ y \times 3x = 3 \times y \times x = 3xy \]

This shows that \( y \times 3x \) is indeed equivalent to \( 3xy \). The Commutative Property states that the order of multiplication does not affect the product, which allows us to rearrange the factors freely.