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

Question

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

Subtraction Property of Equality
Subtraction Property of Equality

Addition Property of Equality
Addition Property of Equality

Division Property of Equality

Answer 1

The property of equality displayed in Step 3 is the Subtraction Property of Equality. This property states that if you subtract the same number from both sides of an equation, the equality is maintained. In this case, 12 is being subtracted from both sides of the equation \(6m + 12 = 5m + 7\).