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4/x=-20/15 solve for x in the proportion

Mathematics
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Hint: Cross Mulitply
cross multiply
ok

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Other answers:

@shivraj , why don't you post the result you get after cross multiplication.
Here we can do it by another simple method..
You mean a method other than cross multiplication?
Yes..
Let @shivraj solve first and at last I will tell the method..
Okay, so @waterineyes will probably simplify the right fraction before cross multiplying. But that's nothing new.
I will not use cross multiplication anywhere in my solution @Hero
So how will your method be "simpler"?
Can i show you??
I can see that the fraction will be reduced to 4x = -4/3
But now you still have to cross multiply. Doing anything else will just produce more steps.
I won't i said @Hero
err, I mean the fraction will be reduced to 4/x = -4/3 typo above
Yes: \[\frac{4}{x} = \frac{-4}{3} \implies \frac{4}{x} = \frac{4}{-3} \implies x = -3\]
Oh, I see what you did. Yeah, in that case, I guess you don't need to cross multiply. Nice trick.
That is what I am trying to say..
That's why the real first step is to actually simplify whenever possible
Yes...
Usually when I see a proportion, my first impulse is to cross multiply
Ha ha ha..
@waterineyes : Unknowingly you are cross multiplying the terms with 1. :) Still it's a good and simpler method. Well done.
See the way to look this problem is : If; \[\frac{x}{y} = \frac{x}{z}\] then y must be equal to z that is why they become equal.. That is the trick here.. @Champs
You are of course saying it mathematically but I am saying it logically...
What do you call that? The Denominator Equivalency Property?
Ha ha ha.. You can call that what you like..
Or perhaps the Denominator Equality Property
I like it. :)
We see in this Problem that when a single fraction is equal to a single fraction, then the equation can be cleared by "cross-multiplying." If a c ---- = ---- b d , then ad = bc. -------------------------------------------------------- PROBLEM BELOW -------------------------------------------------------- x − 3 x − 5 ------ = ----- <=== SOLVE 3 2 Here is the cleared equation and its solution: 2(x − 3) = 3(x − 5) 2x − 6 = 3x − 15 2x − 3x = − 15 + 6 −x = −9 x = 9

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