#1
Hey

I was wondering if anyoe could help me out with this?

(2x+1)/4) + (4x+1)/6) = 1

I've tried cross-multiplying, then expanding thebrackets and collecting like terms which gives me

(28x+10) / 10 = 1

Now this doesnt make sense because you'd then multiply both sides by 10, and then subtract 1- from both sides which would leave you with 28x = 0 therefore making x=0

Cheers
Last edited by burningcowsrule at Mar 11, 2007,
#5
Are you trying to simplify or find x?
Quote by neidnarb11890
the chinese take-out place my family always ordered from gave you chopsticks, so as a kid it was fun to try & eat with chopsticks
now i just use a fork, 'cuz nothing is fun anymore & i just want to shovel food into my mouth to fill the void
#6
2x+1   4x+1
---- + ---- = 1
 4      6

Get it so its like:

(12x+6)+(16x+4)
--------------- = 1
     24

28x+10 = 24

28x = 14

x = .5


ta daah.

[/thread]
#7
(2x+1) + (4x+1)
-------- ------- = 1
4 6

Cross multiply:

6(2x+1) + 4(4x+1)
----------------------- = 1
24

Then:

12x + 6 + 16x + 4
--------------------- = 1
24

Then:

28x +10
---------- = 1
24

28x + 10 = 1 x 24

Then:

28x = 14

X = 0.5
#9
as ya can see, ur only problem was that you needed to multiply the numbers at the bottom of the fractions rather than add them like ya did.
#10
My version is a bit easier on the eyes

Essentially, you did it right when cross multiplying, but then you added the denominator have to get them equal, then you dont do anything with them. When you add 1/2 and 1/2 you dont get 1/4, do you?

Only add the numerator.
#11
Quote by umop-3p!sdn
2x+1   4x+1
---- + ---- = 1
4 6

Get it so its like:

(12x+6)+(16x+4)
--------------- = 1
24

28x+10 = 24

28x = 14

x = .5


ta daah.

[/thread]


+1

I'm not smart enough to work it out my self so i'll just tag along with this guy.
Quote by neidnarb11890
the chinese take-out place my family always ordered from gave you chopsticks, so as a kid it was fun to try & eat with chopsticks
now i just use a fork, 'cuz nothing is fun anymore & i just want to shovel food into my mouth to fill the void
#12
This stuff is easy. Its when you start getting into x^3 and x^4 it gets complicated. Well, not so much complicated as time consuming.