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

1 answer

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.