Question

Which property justifies this statement?

If x=−6x=−6, then x+6=0x+6=0.

Addition Property of Equality

Division Property of Equality

Reflexive Property of Equality

Multiplication Property of Equality

Answer 1

For this case we have:

By definition, the Addition Property of Equality establishes that an equality is not altered as long as the same number is added on both sides of it. That is to say:

can be rewritten as:

If we have:

We can add 6 to both sides of the equation, obtaining the following:

Proving that the statement is true.

Explanation:

Answer 2

For this case we have:

By definition, the Addition Property of Equality establishes that an equality is not altered as long as the same number is added on both sides of it. That is to say:

`a + b = c` can be rewritten as:

`(a + b) + d = c + d`

If we have:

`x = -6`

We can add 6 to both sides of the equation, obtaining the following:

`x + 6 = -6 + 6x + 6 = 0`

Proving that the statement is true.

Answer:

Addition Property of Equality