Name the property of equality or congruence that justifies going from the first statement to the second statement.

StartFraction x Over 2 EndFraction equals 3x2=3

x equals 6x=6

symmetric property of

congruencesymmetric property of congruence

distributive propertydistributive property

substitution property

multiplication property of

equalitymultiplication property of equality

transitive property of

congruencetransitive property of congruence

symmetric property of

equalitysymmetric property of equality

reflexive property of equality

subtraction property of

equalitysubtraction property of equality

transitive property of equality

division property of equality

addition property of equality

reflexive property of congruence

addition

The property of equality or congruence that justifies going from the first statement to the second statement is the multiplication property of equality.

The property of equality or congruence that justifies going from the first statement "StartFraction x Over 2 EndFraction equals 3" to the second statement "x equals 6" is the division property of equality.

To understand how the division property of equality is used, let's break it down step-by-step:

1. The first statement says "StartFraction x Over 2 EndFraction equals 3". This means that the quantity x divided by 2 is equal to 3.

2. To isolate the variable x on one side of the equation, we can apply the inverse operation of division, which is multiplication.

3. Multiplying both sides of the equation by 2, we get x = 3 * 2 which simplifies to x = 6.

So, the division property of equality allows us to divide both sides of an equation by the same number to solve for the variable and obtain the second statement x = 6.