To justify each step taken to solve the equation x3 - 7 = 11, we need to identify which Properties of Equality were used. Let's consider the first step.
x/3 - 7 = 11 ⇒ x3 = 18
For this, the Addition Property of Equality was used. This property says that you can add the same number to both sides of an equation and the statement will still be true.
Now, let's look at the second step.
x3 = 18 ⇒ x = 54
Here, the Multiplication Property of Equality was used. This property says that you can multiply both sides on an equation by the same number and the statement will still be true.
