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 \( 3xy = 3yx \).