To justify each step taken to solve the equation 9x4 = -9, we need to identify which Properties of Equality were used. Let's consider the first step.
9x4 = -9 ⇒ 9x = -36
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.
Now, let's look at the second step.
9x = -36 ⇒ x = -4
Here, the Division Property of Equality was used. This property says that you can divide both sides on an equation by the same nonzero number and the statement will still be true.
