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Mathematics 15 Online
OpenStudy (anonymous):

Fan and Medal!!

OpenStudy (anonymous):

What number must each side of the equation 2/3x =16 be multiplied by to produce the equivalent equation, x=24?

OpenStudy (anonymous):

i dont get it.. :/

OpenStudy (anonymous):

Ok what you have to do in a situation like this is multiply both sides by the reciprocal of the number multiplied by x

OpenStudy (anonymous):

The reciprocal of 2/3 is 3/2. (You just switch the numnerator and demoninator)

OpenStudy (anonymous):

Does that make sense?

OpenStudy (anonymous):

so ok...no not really..sorry.. :/ well the reciprocal i do..

OpenStudy (anonymous):

ok. :)

OpenStudy (anonymous):

thanks for not giving me the answer i kinda need to learn this..i never did get it.

OpenStudy (anonymous):

OK when you have a number multiplied by x, and it's a fraction, it will have a reciprocal

OpenStudy (anonymous):

When you multiply a number by a reciprocal, it will always equal to 1. Ex. |dw:1398817168890:dw|

OpenStudy (anonymous):

Does that make sense

OpenStudy (anonymous):

hold on..studyin it..sorry bout that.

OpenStudy (anonymous):

No problem at all, take your time

OpenStudy (anonymous):

thanks...one thing.uh i do get it a bit more...but i was also looking at the problem.. umm how am i suppose to bring the reciprocal to...ohh what i don't..okay keep on going. nvm... I'll ask later.

OpenStudy (anonymous):

This concept has always been applied to basic algebra. Remember how when you solve an equation like: 5x = 10 x = 2 What they're doing is dividing by 2. But another interpretation is that they multiplied both sides of the equation by (1/5). When you have a number times x (ax), and you multiply it by the reciprocal of that number (1/a), then you will get x. You want to multiply the number by its reciprocal to make the number equal to 1 so it would be 1(x) which is just x. It's just a method of getting rid of the number and just leaving x. ax * (1/a) = x

OpenStudy (anonymous):

This is what they're doing for your problem. They have (2/3)x = 16. We are just supposed to find the reciprocal of (2/3) and then multiply it by both sides of the equation. This will get x by itself and we can clearly see what x is equal to

OpenStudy (anonymous):

Let me know if you don't understand anything herr

OpenStudy (anonymous):

well i get somewhat of it... so i need to multiply...but what i dont get is how do i multipy Both sides of the equation..thats what i dont get.

OpenStudy (anonymous):

so the answer is the reciprocal?

OpenStudy (anonymous):

You can multiply both sides of an equation by any number

OpenStudy (anonymous):

The number you want to multiply it with in this case is the reciprocal

OpenStudy (anonymous):

ok..

OpenStudy (anonymous):

Yup so just find the reciprocal and that will be your answer

OpenStudy (anonymous):

wow me.. lol thanks!!

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