What property of equality is displayed in step 3 in the solving of 9m+4−7m=5m+7/3 ?
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
Multiplication Property of Equality Multiplication Property of Equality Addition Property of Equality Addition Property of Equality Subtraction Property of Equality Subtraction Property of Equality Division Property of Equality
Addition Property of Equality
The property of equality displayed in Step 3 is the Addition Property of Equality.
The property of equality displayed in step 3 of the solving process is the Addition Property of Equality.
To get to step 3, we start with the equation 3(2m+4)=(5m+7/3). In step 2, we distribute the 3 to both terms inside the parentheses, giving us 6m + 12 = 5m + 7/3.
In step 3, we use the Addition Property of Equality, which states that if we add the same value to both sides of an equation, the equation remains true. In this case, we subtract 12 from both sides of the equation to eliminate the +12 on the left side. This gives us 6m + 12 - 12 = 5m + 7/3 - 12. Simplifying this equation gives us 6m = 5m + 7.
Therefore, the property of equality displayed in step 3 is the Addition Property of Equality.