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

User Dave Hamilton
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1 Answer

16 votes
16 votes

Answer:

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:


image

Then, by evaluating it, you would get:


image by distribution over subtraction.


image by the additive property of equality


image Simplify.


image 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.

User Chris Hagan
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