To show that the expressions \( y \cdot 3x \) and \( 3xy \) are equivalent using the commutative property of multiplication, we can rearrange the terms in the first expression.
Starting with the first expression:
\[ y \cdot 3x \]
We can use the commutative property of multiplication, which states that \( a \cdot b = b \cdot a \). Here, we can rearrange the terms:
\[ y \cdot 3x = 3 \cdot y \cdot x \]
Now, we can also rearrange the terms \( 3 \cdot y \cdot x \):
\[ 3 \cdot y \cdot x = 3xy \]
Therefore, we have shown that:
\[ y \cdot 3x = 3xy \]
Thus, the expressions \( y \cdot 3x \) and \( 3xy \) are indeed equivalent.
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