¾ x- ½ = 1
multiply by \(4\) and start with \[3x-2=4\] then it should be much easier
you good from there?
no i need a detailed explanation... please and thank you!
ok first did you see how i got \[3x-2=4\]?
umm no..
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 \(x=2\)
ok lets go back to the first step
\[\frac{3}{4}x-\frac{1}{2}=1\] the least common multiple of \(4\) and \(2\) is \(4\) so we can clear the fractions by multiplying both sides of the equation by \(4\)
\[4\times \left(\frac{3}{4}x-\frac{1}{2}\right)=4\times 1\]\[3x-2=4\]
you could also start with \[¾ x- ½ = 1\] and add \(\frac{1}{2}\) to both sides, get \[\frac{3}{4}x=\frac{3}{2}\]
then multiply both sides by \(\frac{4}{3}\) to get \[x=\frac{3}{2}\times \frac{4}{3}=2\] same thing
if i lost you let me know we can go slower
ohhh i get it using fractions is way easier
i got it with the fractions.
thanks
yw some people hate fractions is all
i have another question 0.7x-2.3=0.5
i hate fractions too but i prefer fractions in this case. i think i just hate math altogether
now if decimals don't bother you knock yourself out me , i would write \[7x-23=5\] and solve that one
yeah this stuff is pretty loathsome only because it is so boring you will get past it
clear how i got from \[0.7x-2.3=0.5\] to \[7x-23=5\]?
i'll take that as a yes is it clear how to solve \[7x-23=5\] in two steps?
did you multiply? sorry i'm very clueless
yes i multiplied both sides by 10 which really translated to moving the decimal place over one spot all the way across
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
\[.7x-2.3=.5\\ .7x=2.8\\ x=2.8\div .7=28\div 7=4\] is one way
the other way is \[7x-23=5\\ 7x=28\\x=28\div 7\\ x=4\]
same thing really just one has decimals and the other doesn't
got it! you're great thanks so much
yw
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