Question

Identify the property that justifies Step 3 when solving the given equation. Step 3: 8x − 2 + 2 = 30 + 2

Answer 1

The property justifying Step 3 in the equation is the Addition Property of Equality, which maintains the balance of the equation when the same number is added to both sides.

Step-by-step explanation:

The property that justifies Step 3 when solving the equation 8x - 2 + 2 = 30 + 2 is the Addition Property of Equality. This property states that if you add the same number to both sides of an equation, the equation remains balanced. In this case, adding 2 to both sides of the equation 8x - 2 = 30 ensures that the equality holds true.

Steps to Justify Step 3:

1. Identify the equation: 8x - 2 = 30.
2. Add 2 to both sides: 8x - 2 + 2 = 30 + 2.
3. The equation now reads: 8x = 32, which maintains the balance and allows us to solve for x.