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20 January, 03:26

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?

a. Property of opposites

b. Associative property of addition

c. Addition property of equality

d. Identify property of addition

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  1. 20 January, 03:29
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    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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