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

Subtraction Property of Equality
Subtraction Property of Equality

Multiplication Property of Equality
Multiplication Property of Equality

Addition Property of Equality
Addition Property of Equality

Division Property of Equality
Division Property of Equality

Answer 1

In step 3 of the solving process, the operation being applied is to subtract 12 from both sides of the equation:

\[
6m + 12 - 12 = 5m + 7 - 12
\]

This demonstrates the **Subtraction Property of Equality**, which states that if you subtract the same number from both sides of an equation, the equality still holds.

Therefore, the correct response is:

**Subtraction Property of Equality**