Question

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

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

Division Property of Equality
Division Property of Equality

Subtraction Property of Equality
Subtraction Property of Equality

Multiplication Property of Equality
Multiplication Property of Equality

Addition Property of Equality

Answer 1

In step 3 of the equation solving process, the operation being applied is the subtraction of 12 from both sides of the equation. This is indicative of the **Subtraction Property of Equality**, which states that if two expressions are equal, subtracting the same quantity from both sides will maintain the equality.

Thus, the correct response is:

**Subtraction Property of Equality**