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HeroBest ResponseYou've already chosen the best response.1
@shivraj , why don't you post the result you get after cross multiplication.
 one year ago

waterineyesBest ResponseYou've already chosen the best response.1
Here we can do it by another simple method..
 one year ago

HeroBest ResponseYou've already chosen the best response.1
You mean a method other than cross multiplication?
 one year ago

waterineyesBest ResponseYou've already chosen the best response.1
Let @shivraj solve first and at last I will tell the method..
 one year ago

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

waterineyesBest ResponseYou've already chosen the best response.1
I will not use cross multiplication anywhere in my solution @Hero
 one year ago

HeroBest ResponseYou've already chosen the best response.1
So how will your method be "simpler"?
 one year ago

HeroBest ResponseYou've already chosen the best response.1
I can see that the fraction will be reduced to 4x = 4/3
 one year ago

HeroBest ResponseYou've already chosen the best response.1
But now you still have to cross multiply. Doing anything else will just produce more steps.
 one year ago

waterineyesBest ResponseYou've already chosen the best response.1
I won't i said @Hero
 one year ago

HeroBest ResponseYou've already chosen the best response.1
err, I mean the fraction will be reduced to 4/x = 4/3 typo above
 one year ago

waterineyesBest ResponseYou've already chosen the best response.1
Yes: \[\frac{4}{x} = \frac{4}{3} \implies \frac{4}{x} = \frac{4}{3} \implies x = 3\]
 one year ago

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

waterineyesBest ResponseYou've already chosen the best response.1
That is what I am trying to say..
 one year ago

HeroBest ResponseYou've already chosen the best response.1
That's why the real first step is to actually simplify whenever possible
 one year ago

HeroBest ResponseYou've already chosen the best response.1
Usually when I see a proportion, my first impulse is to cross multiply
 one year ago

ChampsBest 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.
 one year ago

waterineyesBest ResponseYou've already chosen the best response.1
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
 one year ago

waterineyesBest ResponseYou've already chosen the best response.1
You are of course saying it mathematically but I am saying it logically...
 one year ago

HeroBest ResponseYou've already chosen the best response.1
What do you call that? The Denominator Equivalency Property?
 one year ago

waterineyesBest ResponseYou've already chosen the best response.1
Ha ha ha.. You can call that what you like..
 one year ago

HeroBest ResponseYou've already chosen the best response.1
Or perhaps the Denominator Equality Property
 one year ago

CompassionateBest ResponseYou've already chosen the best response.1
We 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
 one year ago
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