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

Division Property of Equality
Division Property of Equality

Multiplication Property of Equality
Multiplication Property of Equality

Addition Property of Equality
Addition Property of Equality

Subtraction Property of Equality

1 answer

In Step 3 of the given solving process, the operation performed is subtracting 12 from both sides of the equation:

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

This shows that you are maintaining equality by subtracting the same value (12) from both sides of the equation. Therefore, the property of equality displayed in Step 3 is the Subtraction Property of Equality.