Questions: Which property of equality is shown below? If: 76=89 n Then: 76/24=89 n/24 Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality

Which property of equality is shown below?

If: 76=89 n
Then: 76/24=89 n/24

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

Transcript text: Which property of equality is shown below? If: $\quad 76=89 n$ Then: $\frac{76}{24}=\frac{89 n}{24}$ Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality

Solution

Solution Steps

The given equation shows that both sides of the equation are divided by the same non-zero number (24). This is an application of the Division Property of Equality, which states that if you divide both sides of an equation by the same non-zero number, the equality is maintained.

Step 1: Identify the Original Equation

The original equation given is

\[ 76 = 89n \]

Step 2: Apply the Transformation

The transformation applied to both sides of the equation is division by 24. This means we can express the equation as:

\[ \frac{76}{24} = \frac{89n}{24} \]

Step 3: Determine the Property of Equality

Since both sides of the equation are divided by the same non-zero number (24), this demonstrates the Division Property of Equality.