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 Subtraction Property of Equality Subtraction Property of Equality Addition Property of Equality Addition Property of Equality
Subtraction Property of Equality
The property of equality displayed in step 3 is the Subtraction Property of Equality.
The property of equality displayed in Step 3 of the given equation is the Subtraction Property of Equality.
To understand how this property is used, let's review the steps leading up to Step 3:
Step 1: The equation is given as 9m + 4 - 7m = 5m + 73.
Step 2: We simplify the equation by combining like terms: 2m + 4 = 5m + 73.
Step 3: In this step, we subtract 12 from both sides of the equation to isolate the variable term on one side: 6m + 12 - 12 = 5m + 7 - 12.
Step 4: We further simplify the equation: 6m = 5m - 5.
Step 5: Finally, we subtract 5m from both sides to isolate the variable m: 6m - 5m = 5m - 5m - 5, which further simplifies to m = -5.
The Subtraction Property of Equality states that if a = b, then a - c = b - c. In this case, the equation in Step 3 is using the Subtraction Property of Equality to subtract 12 from both sides of the equation to maintain equality.