What property of equality is displayed in step 3 in the solving of 9m+4−7m=5m+73 9 𝑚 + 4 − 7 𝑚 = 5 𝑚 + 7 3 ? Step 1: 9m+4−7m=5m+73 9 𝑚 + 4 − 7 𝑚 = 5 𝑚 + 7 3 9m−7m+4=5m+73 9 𝑚 − 7 𝑚 + 4 = 5 𝑚 + 7 3 Step 2: 2m+4=5m+73 2 𝑚 + 4 = 5 𝑚 + 7 3 3(2m+4)=(5m+73)3 3 ( 2 𝑚 + 4 ) = ( 5 𝑚 + 7 3 ) 3 Step 3: 6m+12=5m+7 6 𝑚 + 12 = 5 𝑚 + 7 6m+12−12=5m+7−12 6 𝑚 + 12 − 12 = 5 𝑚 + 7 − 12 Step 4: 6m=5m−5 6 𝑚 = 5 𝑚 − 5 6m−5m=5m−5m−5 6 𝑚 − 5 𝑚 = 5 𝑚 − 5 𝑚 − 5 m=−5 𝑚 = − 5 (1 point) Responses Addition Property of Equality Addition Property of Equality Subtraction Property of Equality Subtraction Property of Equality Division Property of Equality Division Property of Equality Multiplication Property of Equality Multiplication Property of Equality
1 answer
In Step 3 of the equation, the operation being performed is subtracting 12 from both sides of the equation \(6m + 12 = 5m + 7\). This is specifically an application of 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.
Thus, the correct response is: Subtraction Property of Equality.
