SOLUTION: to show that x-y and y-x are opposites for all values of x and y, you need to show that -(x-y) is equal to x-y. The steps below demonstrate that this statement is true. Supply the
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-> SOLUTION: to show that x-y and y-x are opposites for all values of x and y, you need to show that -(x-y) is equal to x-y. The steps below demonstrate that this statement is true. Supply the
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Question 108460This question is from textbook mathematics
: to show that x-y and y-x are opposites for all values of x and y, you need to show that -(x-y) is equal to x-y. The steps below demonstrate that this statement is true. Supply the missing reasons.
-(x-y)=-1(y-x)
? =-1y-(-1x)
? =-y-(-x)
? =-y+x
? =x+(-y)
? = x-y This question is from textbook mathematics
You can put this solution on YOUR website! Your wording is a bit confusing,
"show that -(x-y) is equal to x-y"
this cannot be unless both x and y are zero.
I think you mean
"show that -(x-y) is equal to y-x" Distributive property Negative times negative equals a positive.
Since you deduced a true statement, your original equation is correct.
Therefore