Question

Dan solves 6p=5-3p in the way shown below. Which properties did Dan use for Step 1 and Step 2?

Answer 1

Both the Addition Property of Equality and the Additive Identity Property

Explanation:

This is Because we know the The Addition Property of Equality means or defines If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal. So that would show or represent the Step 1

And for Step two it is The Additive Identity Property because we know that defines : an identity element (such as 0 in the group of whole numbers under the operation of addition) that in a given mathematical system leaves unchanged any element to which it is added.

This is why the correct answer is.... "Both the Addition Property of Equality and the Additive Identity Property"

Answer 2

Both the addition property of equality and the additive identity property

Explanation:

we know that

The addition property of equality states that if the same amount is added to both sides of an equation, then the equality is still true

The additive identity property says that if you add a real number to zero or add zero to a real number, then you get the same real number back

we have

`6p=5-3p`

step 1

Applying the addition property of equality adds 3p both sides

`6p+3p=5-3p+3p`

step 2

Applying the additive identity property

`6p+3p=5+0`

step 3

`9p=5`

step 4

`p=5/9`