Which property of equality justifies the step for solving the equation that is displayed?

3z/2 - 5 = 10
2z/2 - 5 + 5 = 10 + 5
3z/2 = 15

1 answer

The property of equality that justifies the step from \( \frac{3z}{2} - 5 = 10 \) to \( \frac{3z}{2} - 5 + 5 = 10 + 5 \) is the Addition Property of Equality. This property states that you can add the same value to both sides of an equation without changing the equality. In this case, you are adding \(5\) to both sides of the equation.