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Which properties of equality justify each statement?

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Which properties of equality justify each statement? 
A. 2a + 3b = 2a + 3b
B. 60 = 45t  and 60 = 35(t - 1). Therefore, 45t = 35(t -1
asked May 28, 2014 in ALGEBRA 1 by marleney Novice

2 Answers

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A. 2a + 3b = 2a + 3b

Reflexive Property A quantity is congruent (equal) to itself.  a = a

The statement represents the reflexive property.

answered May 28, 2014 by anonymous
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  • A.

The statement is 2a + 3b = 2a + 3b.

Reflexive property of equality : a = a.

So, the statement justifies the reflexive property of equality.

  • B.

The statement is 60 = 45t and 60 = 35(t - 1).Therefore, 45t = 35(t - 1)

Transitive property of equality : if a = b and a = c, then b = c.

So, the statement justifies the transitive property of equality.

answered May 28, 2014 by lilly Expert

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