QuestionComplete the statements using the table: In step 2, the property of equality was applied. In step 4, the property of equality was applied. The equation is $3 x-10=-16$ .

Studdy Solution

STEP 1

Assumptions1. The given equation is $3x -10 = -16$ . . The table shows the steps used to solve this equation.
3. We are asked to identify the properties of equality used in steps and4.

STEP 2

In step2, the equation is transformed from $x -10 = -16$ to $x -10 +10 = -16 +10$ .
This step involves adding10 to both sides of the equation. The property of equality that allows us to do this 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 true.

STEP 3

So, the property of equality applied in step2 is the Addition Property of Equality.

STEP 4

In step4, the equation is transformed from $3x = -6$ to $\frac{3x}{3} = \frac{-6}{3}$ .
This step involves dividing both sides of the equation by3. The property of equality that allows us to do this is the Division Property of Equality. This property states that if you divide both sides of an equation by the same nonzero number, the equation remains true.

STEP 5

So, the property of equality applied in step4 is the Division Property of Equality.

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