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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

Verified Answer :

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


Answer:

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.

Step-by-step explanation: