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

1 answer

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