Question

Brianna's teacher asks her which of these three expressions are equivalent to each other. which is equivalent

Answer 1

Please specify what the three expressions are.

Explanation:

From what I understand, you need to set the expressions equal to each other. For instance, if one is 2(x-3) and the other is 2x-6, you could write it as:

`2(x-3)=2x-6`

Then, by evaluating it, you would get:

`2x-6=2x-6` by distribution over subtraction.

`2x-6+6=2x-6+6` by the additive property of equality

`2x=2x` Simplify.

`x=x` by the reflexive axiom.

Since x will always equal itself, 2(x-3) and 2x-6 are equivalent.

Therefore, if the expressions, once set equal to each other, result in the equation x=x, or any other expression in which one quantity equals itself, the two expressions are equal.

Sorry I could not be of more help, but you did not specify what the expressions were.