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

Algebra ->  Graphs -> 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       Log On


   



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

Answer by Fombitz(32388) About Me  (Show Source):
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"
-%28x-y%29=y-x
-x-%28-y%29=y-x Distributive property
-x%2By=y-xNegative times negative equals a positive.
y-x=y-x
Since you deduced a true statement, your original equation is correct.
Therefore
-%28x-y%29=y-x