Select the reason that proves this statement
Question
Select the reason that proves this statement.
Theorem: If a + c = b + c, then a = b.
Theorem: If a + c = b + c, then a = b.
1. Identity property of addition
2. Property of opposites
3. Given
4. Commutative property of addition
5. Associative property of addition
Addition property of equality
Answer
Its actually “the additive inverse property”.
A number c’ is called the additive inverse for c if c + c’ = 0 where 0 is the “identity element”.
The identity property of addition is the existence of the element ‘0’ such that for any elementc, c +0 = c.
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