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Mathematics 14 Online
OpenStudy (nicoleced):

¾ x- ½ = 1

OpenStudy (anonymous):

multiply by \(4\) and start with \[3x-2=4\] then it should be much easier

OpenStudy (anonymous):

you good from there?

OpenStudy (nicoleced):

no i need a detailed explanation... please and thank you!

OpenStudy (anonymous):

ok first did you see how i got \[3x-2=4\]?

OpenStudy (nicoleced):

umm no..

OpenStudy (anonymous):

we can do it with the fractions if you like it is just a lot easier to do it without them if you have \(3x-2=4\) and you want \(x\) you can find it in 2 steps; first add \(2\) and get \[3x=6\] the divide by \(3\) and get \(x=2\)

OpenStudy (anonymous):

ok lets go back to the first step

OpenStudy (anonymous):

\[\frac{3}{4}x-\frac{1}{2}=1\] the least common multiple of \(4\) and \(2\) is \(4\) so we can clear the fractions by multiplying both sides of the equation by \(4\)

OpenStudy (anonymous):

\[4\times \left(\frac{3}{4}x-\frac{1}{2}\right)=4\times 1\]\[3x-2=4\]

OpenStudy (anonymous):

you could also start with \[¾ x- ½ = 1\] and add \(\frac{1}{2}\) to both sides, get \[\frac{3}{4}x=\frac{3}{2}\]

OpenStudy (anonymous):

then multiply both sides by \(\frac{4}{3}\) to get \[x=\frac{3}{2}\times \frac{4}{3}=2\] same thing

OpenStudy (anonymous):

if i lost you let me know we can go slower

OpenStudy (nicoleced):

ohhh i get it using fractions is way easier

OpenStudy (nicoleced):

i got it with the fractions.

OpenStudy (nicoleced):

thanks

OpenStudy (anonymous):

yw some people hate fractions is all

OpenStudy (nicoleced):

i have another question 0.7x-2.3=0.5

OpenStudy (nicoleced):

i hate fractions too but i prefer fractions in this case. i think i just hate math altogether

OpenStudy (anonymous):

now if decimals don't bother you knock yourself out me , i would write \[7x-23=5\] and solve that one

OpenStudy (anonymous):

yeah this stuff is pretty loathsome only because it is so boring you will get past it

OpenStudy (anonymous):

clear how i got from \[0.7x-2.3=0.5\] to \[7x-23=5\]?

OpenStudy (anonymous):

i'll take that as a yes is it clear how to solve \[7x-23=5\] in two steps?

OpenStudy (nicoleced):

did you multiply? sorry i'm very clueless

OpenStudy (anonymous):

yes i multiplied both sides by 10 which really translated to moving the decimal place over one spot all the way across

OpenStudy (anonymous):

you could work with the decimals and leave them along, but you would have to remember how to divide by a decimal if you do that

OpenStudy (anonymous):

\[.7x-2.3=.5\\ .7x=2.8\\ x=2.8\div .7=28\div 7=4\] is one way

OpenStudy (anonymous):

the other way is \[7x-23=5\\ 7x=28\\x=28\div 7\\ x=4\]

OpenStudy (anonymous):

same thing really just one has decimals and the other doesn't

OpenStudy (nicoleced):

got it! you're great thanks so much

OpenStudy (anonymous):

yw

OpenStudy (goformit100):

▬ ▬ Sir/Ma'am, A Warm Welcome To Open Study ▬ ▬

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