Question

Which property justifies the following statement: 3xy = 3yx

Answer 1

The property that justifies the statement \( 3xy = 3yx \) is the **commutative property of multiplication**. This property states that the order in which two numbers are multiplied does not affect the product. In this case, the variables \( x \) and \( y \) can be multiplied in either order, leading to \( xy = yx \). Therefore, multiplying both sides by 3 maintains the equality, resulting in \( 3xy = 3yx \).