Final answer:
To transition from step 3 to step 4 in solving the equation X-3/3 = X+3, the Multiplication Property of Equality is used. This property allows multiplication or division by the same non-zero number on both sides of an equation, preserving the equality.
Step-by-step explanation:
To solve the equation X - 3/3 = X + 3, it is necessary to identify the property of equality used to move from step 3 to step 4. This involves understanding that multiplication or division by the same number on both sides of an equation maintains equality. When considering this equation, if we multiply or divide each term on either side by the same number, we must apply this operation across the entirety of the side, especially if there are multiple terms. Therefore, if we were to multiply both sides of this equation by the same number to eliminate the denominator on the left side, we would be using the Multiplication Property of Equality.
The Multiplication Property of Equality can also be demonstrated using another example: 1 yd = 3 ft. If we multiply or divide both sides by the same number, the two quantities will continue to be equal. The multiplicative identity property tells us that any fraction with the same numerator and denominator equals 1, thus maintaining the overall equality.