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Hero
 2 years ago
Best ResponseYou've already chosen the best response.1@shivraj , why don't you post the result you get after cross multiplication.

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1Here we can do it by another simple method..

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1You mean a method other than cross multiplication?

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1Let @shivraj solve first and at last I will tell the method..

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1Okay, so @waterineyes will probably simplify the right fraction before cross multiplying. But that's nothing new.

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1I will not use cross multiplication anywhere in my solution @Hero

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1So how will your method be "simpler"?

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1I can see that the fraction will be reduced to 4x = 4/3

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1But now you still have to cross multiply. Doing anything else will just produce more steps.

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1I won't i said @Hero

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1err, I mean the fraction will be reduced to 4/x = 4/3 typo above

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1Yes: \[\frac{4}{x} = \frac{4}{3} \implies \frac{4}{x} = \frac{4}{3} \implies x = 3\]

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1Oh, I see what you did. Yeah, in that case, I guess you don't need to cross multiply. Nice trick.

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1That is what I am trying to say..

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1That's why the real first step is to actually simplify whenever possible

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1Usually when I see a proportion, my first impulse is to cross multiply

Champs
 2 years ago
Best ResponseYou've already chosen the best response.0@waterineyes : Unknowingly you are cross multiplying the terms with 1. :) Still it's a good and simpler method. Well done.

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1See 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

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1You are of course saying it mathematically but I am saying it logically...

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1What do you call that? The Denominator Equivalency Property?

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1Ha ha ha.. You can call that what you like..

Hero
 2 years ago
Best ResponseYou've already chosen the best response.1Or perhaps the Denominator Equality Property

Compassionate
 2 years ago
Best ResponseYou've already chosen the best response.1We see in this Problem that when a single fraction is equal to a single fraction, then the equation can be cleared by "crossmultiplying." 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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