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

Addition Property of Equality
Addition Property of Equality

Subtraction Property of Equality
Subtraction Property of Equality

Division Property of Equality

Answer 1

In step 3, the operation being performed is the same on both sides of the equation: specifically, subtracting 12 from both sides. This demonstrates the **Subtraction Property of Equality**, which states that if you subtract the same quantity from both sides of an equation, the two sides remain equal.

Therefore, the correct response is:

**Subtraction Property of Equality**