SOLUTION: Suppose you are told that b-a is the opposite of a-b. Explain how adding b-a to a-b can convince you that this statement is true?

SOLUTION: Suppose you are told that b-a is the opposite of a-b. Explain how adding b-a to a-b can convince you that this statement is true?

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Question 158816This question is from textbook ALgebra structure and method Book 1
: Suppose you are told that b-a is the opposite of a-b. Explain how adding b-a to a-b can convince you that this statement is true? This question is from textbook ALgebra structure and method Book 1

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
First, anything added to its opposite equals zero.
x + (-x) = 0, so, let x = (a-b)...
(a-b) + (-(a-b)) = 0 But -(a-b) = (b-a), so...
(a-b)+(b-a) = 0
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