SOLUTION: I'm doing explorations into variables and I don't get this at all so could you please explain it to me. Problem below. 2x=3x what I got..or did. I divided 2x by both of the numb

Question 685440: I'm doing explorations into variables and I don't get this at all so could you please explain it to me.
Problem below.
2x=3x what I got..or did.
I divided 2x by both of the numbers and I got x=1 is this right?!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
2x=3x what I got..or did.
I divided 2x by both of the numbers and I got x=1 is this right?!
---------------
Both of what numbers?
If you divide 2x by 3x you get 2/3.
-------
2x=3x
Subtract 2x from each side
0 = x
x = 0
-------------
Dividing both side by 2x -->
1 = 2/3 which is inconsistent.
--> x is undefined or infinity.
You can argue that 2 times infinity = 3 times infinity.
0 fits without arguments, tho.

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