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Prove: if a+c=b+c, then a=b.

Statement 1: a+c=b+c

Statement 2: a+c+(-c)=b+c+(-c)

Statement 3: a+[c+(-c)]=b+[c(-c)]

Statement 4: a+0=b+0

Statement 5: a=b.

What is the reason for Statement 2?

AProperty of opposites
BAssociative property of addition
CAddition property of equality
DIdentify property of addition

Verified Answer :

meerkat18

Statement 1: a+c=b+c
Statement 2: a+c+(-c)=b+c+(-c)
Statement 3: a+[c+(-c)]=b+[c(-c)]
Statement 4: a+0=b+0
Statement 5: a=b. 
What is the reason for Statement 2? 

A.) Property of opposites

This property is where a number and its opposite are called additive inverses. The sum of these numbers is equal to 0.

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