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GCSE Math Help!

It's to do with rearranging algebraic fractions..I'm finding this particular one difficult at the moment..
Would some kind soul please help me, and explain how to do it? :biggrin:
My revision guide isn't really helping matters.

Really sorry but I can't use that maths symbol TSR thing either :| So if someone could re-express this problem with the symbols that would be appreciated also so that it makes more sense!

2x/5 - 4x+5/3 = x+8

lmao I realise how retarded that probably looks! :P
Reply 1
Avatar for rnd
rnd
6
Jizzabelle

2x/5 - 4x+5/3 = x+8


2x5−4x+53=x+8\frac{2x}{5}-\frac{4x+5}{3}=x+8

Is that what you mean?

LaTeX is easy by the way. Just quote me to see what I did.

As for the question. I would multiply both sides of the equation by the lowest common mupltiple of 3 and 5 for a start and I'll point out that 2x5×15≠30x75\frac{2x}{5}\times 15 \neq \frac{30x}{75}
Reply 2
Avatar for Kolya
Kolya
17
First get rid of the annoying denominators by first multiplying the equation through by 5, and then multiplying it through by 3.
Reply 3
Avatar for Jizzabelle
Jizzabelle
OP
8
Thanks for your help guys, but I still don't get it :frown:. On first glance, I thought I had to..
Kolya
First get rid of the annoying denominators by first multiplying the equation through by 5, and then multiplying it through by 3.


but, it didn't work out :s-smilie:.

2x - 4x+ 5 = 15x +120 ?
= -2x + 5 = 15x + 120 ?
moved the + 5 across
- 2x = 15x + 115
moved the 15x across..
-17x=115

I've really messed it up and I'm so confuuuused. :frown:
Reply 4
Avatar for Kolya
Kolya
17
Your first line is wrong. Multiplying through by 5 gives 2x−20x+253=5x+402x - \frac{20x + 25}{3} = 5x + 40, and then multiplying through by 3 gives 6x−20x−25=15x+1206x - 20x - 25 = 15x + 120 (I think!)
Reply 5
Avatar for Jizzabelle
Jizzabelle
OP
8
Kolya
Your first line is wrong. Multiplying through by 5 gives 2x−20x+253=5x+402x - \frac{20x + 25}{3} = 5x + 40, and then multiplying through by 3 gives 6x−20x−25=15x+1206x - 20x - 25 = 15x + 120 (I think!)


Aye, I tried that way aswell, but it doesn't seem to work either :\
Reply 6
Avatar for rnd
rnd
6
It does. Try again. :smile:
Reply 7
Avatar for Jeajajosh
Jeajajosh
-14x-25=15x+120
-145=29x

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