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

Question

Expression 1: y⋅3x
𝑦
⋅
3
𝑥

Expression 2: 3xy

Answer 1

To prove that the expressions \( y \cdot 3x \) and \( 3xy \) are equivalent using the Commutative Property, we can rearrange the terms in Expression 1. According to the Commutative Property of multiplication, \( y \cdot 3x \) can be rewritten as \( 3 \cdot y \cdot x \) or \( 3xy \), which matches Expression 2.

Thus, we have shown that both expressions are equivalent: \( y \cdot 3x = 3xy \).