SOLUTION: This question is about the Multiplication Property of Equality. x/-9=-3 -9(x/-9)=-9(-3) How does the -9 outside of the ( ) reduce (x/-9) to x? Shouldn't it be -9(-9)=81? x=27

Algebra ->  Permutations -> SOLUTION: This question is about the Multiplication Property of Equality. x/-9=-3 -9(x/-9)=-9(-3) How does the -9 outside of the ( ) reduce (x/-9) to x? Shouldn't it be -9(-9)=81? x=27      Log On


   



Question 870926: This question is about the Multiplication Property of Equality.
x/-9=-3
-9(x/-9)=-9(-3) How does the -9 outside of the ( ) reduce (x/-9) to x? Shouldn't it be -9(-9)=81?
x=27

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
This question is about the Multiplication Property of Equality.
x%2F%28-9%29%22%22=%22%22-3

-9%28x%2F%28-9%29%29%22%22=%22%22-9%28-3%29

How does the -9 outside of the ( ) reduce (x/-9) to x?
Shouldn't it be -9(-9)=81?
No, because the -9 is the same thing as the fraction %28-9%29%2F1

So it's the same as

expr%28%28-9%29%2F1%29%28x%2F%28-9%29%29%22%22=%22%22-9%28-3%29

And then the -9 in the the numerator cancels with the -9
in the denominator, like this:

expr%28%28cross%28-9%29%29%2F1%29%28x%2F%28cross%28-9%29%29%29%22%22=%22%22-9%28-3%29

And then we only have

x%2F1%22%22=%22%22-9%28-3%29

which is just x

x%22%22=%22%22-9%28-3%29

x%22%22=%22%2227

Edwin