SOLUTION: Please help me solve this equation -6e-4e=-20 .

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: Please help me solve this equation -6e-4e=-20 .      Log On


   



Question 579261: Please help me solve this equation -6e-4e=-20 .
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
This is a very creative problem. Usually when they want you to find a mystery number, they call the mystery number x. They could really use any symbol, but e is very unusual.
I like to think of minus signs as belonging to the number that follows them.
(If I do not see a number, it is an invisible number 1).
So what I see is:
%28-6%29%2Ae%2B%28-4%29%2Ae=-20
Applying the distributive property (it make look backwards to you but equal signs are two way streets):
%28-6%29%2Ae%2B%28-4%29%2Ae=%28%28-6%29%2B%28-4%29%29%2Ae
That is what I see. What I write is:
-6e-4e=-20 --> %28-6-4%29e=-20
Then I add those two negative numbers. I know that %28-6%29%2B%28-4%29=%28-10%29
So, the next transformed equation I write is:
-10e=-20
and that's when I realize that e=2, but I humor the teacher by writing next
%28-10e%29%2F%28-10%29=%28-20%29%2F%28-10%29 --> highlight%28e=2%29
to show that dividing both sides of the equal sign by (-10) I get an equivalent equation, and that (-20) divided by (-10) is 2, just as 20 divided by 10 is 2.