Question

What property of equality is displayed in step 3 in the solving of 9m+4−7m=5m+73 ?

Step 1:

9m+4−7m=5m+73

9m−7m+4=5m+73

Step 2:

2m+4=5m+73

3(2m+4)=(5m+73)3

Step 3:

6m+12=5m+7

6m+12−12=5m+7−12

Step 4:

6m=5m−5

6m−5m=5m−5m−5

m=−5

(1 point)
Responses

Multiplication Property of Equality
Multiplication Property of Equality

Division Property of Equality
Division Property of Equality

Addition Property of Equality
Addition Property of Equality

Subtraction Property of Equality

Answer 1

In step 3 of the equation \(6m + 12 = 5m + 7\), the operation performed is the subtraction of 12 from both sides of the equation. This demonstrates the **Subtraction Property of Equality**, which states that if you subtract the same number from both sides of an equation, the two sides remain equal.

Therefore, the correct response is:

**Subtraction Property of Equality**