What property of equality is displayed in step 3 in the solving of 9m + 4 - 7m = (5m + 7)/3 Step 1: 9m + 4 - 7m = (5m + 7)/3 9m - 7m + 4 = (5m + 7)/3 Step 2: 2m + 4 = (5m + 7)/3 3(2m + 4) = ((5m + 7)/3) * 3 Step 3: 6m + 12 = 5m + 7

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1 month ago

In step 3 of the equation solving process, the property of equality displayed is the **Multiplication Property of Equality**. This property states that if you multiply both sides of an equation by the same non-zero number, the two sides remain equal.

In this case, the equation from step 2 is:
\[ 2m + 4 = \frac{(5m + 7)}{3} \]

In step 3, both sides of the equation are multiplied by 3:
\[ 3(2m + 4) = 3 \left( \frac{(5m + 7)}{3} \right) \]

This results in:
\[ 6m + 12 = 5m + 7 \]

This demonstrates how the multiplication property is used to eliminate the fraction, leading to a new equivalent equation.