The given equation is either linear or equivalent to a linear equation. Solve the equation.
u/(u-(u+1)/2)=4

Question

anonymous · Answer

$$\frac{u}{\frac{u-(u+1)}{2}}=4$$?

anonymous · Answer

looks like you have two fraction bars there.

anonymous · Answer

yes satellite. haha

myininaya · Answer

$$\frac{u}{u-\frac{(u+1)}{2}}=4$$

anonymous · Answer

ok well first of all $$u-(u+1)=u-u-1=-1$$

anonymous · Answer

so what you really have is 
$$\frac{u}{\frac{-1}{2}}=4$$

anonymous · Answer

dividing by one half same as multiplying by 2 so you get 
$$-2u=4$$

anonymous · Answer

divide by -2 to get 
$$u=\frac{4}{-2}=-2$$

anonymous · Answer

no. stop. sorry. wait a sec

myininaya · Answer

lol

anonymous · Answer

i stop

anonymous · Answer

myininya has the correct problem shown

myininaya · Answer

:)

anonymous · Answer

well then my answer was the answer to a different question!

anonymous · Answer

;(

anonymous · Answer

using this site as a reference: http://www.wolframalpha.com/input/?i=u%2F%28u-%28u%2B1%29%2F2%29%3D4

anonymous · Answer

any input is appreciated. i'm trying to figure out how to work it...

anonymous · Answer

well that certainly is not a linear equation!

myininaya · Answer

i would combine the fractions on bottom first

anonymous · Answer

The given equation is either linear or equivalent to a linear equation. Solve the equation. u/(u-(u+1)/2)=4

anonymous · Answer

no chance.  it is not linear

anonymous · Answer

haha. that's how it's listed in my book :D

anonymous · Answer

well it isn't  look at the graph!

anonymous · Answer

are you sure you typed it in correctly?

anonymous · Answer

u = 2

anonymous · Answer

yes. look at the link. that's exactly as it appears in my book :)

anonymous · Answer

sure it isn't -2?

anonymous · Answer

it's 2

anonymous · Answer

aaaaaaaaaaaaaaaaaahhhhhhhhhhhhhhhhhhhhhhh

anonymous · Answer

i see.  simplify the compound fraction and you will get 2 lickety split

myininaya · Answer

$$\frac{u}{\frac{2u-(u+1)}{2}}=u \div \frac{(2u-(u+1))}{2}=u \times \frac{2}{u-1}=\frac{2u}{u-1}$$

anonymous · Answer

i don't see... :(

myininaya · Answer

thats the left hand side

myininaya · Answer

$$\frac{2u}{u-1}=4$$

anonymous · Answer

where did you get 2u from?

anonymous · Answer

in the very first step...

anonymous · Answer

ok multiply top and bottom by 2  get
$$\frac{2u}{2u-(u+1)}$$

anonymous · Answer

no pellet... lol. okay. i'm with you

anonymous · Answer

clears the annoying 2 in the bottom of the denominator

anonymous · Answer

now as we say in the math biz combine liked terms to get 
$$\frac{2u}{u-1}$$

myininaya · Answer

satellite cheated and did it the easy way

anonymous · Answer

yeah. he thinks i know things and understand. :p

myininaya · Answer

lol

anonymous · Answer

so we have 
$$\frac{2u}{u-1}=4$$
$$2u=4(u-1)$$
$$2u=4u-4$$
$$u = 2$$ whew

anonymous · Answer

waddya mean cheated?  how else do you clear fractions?

anonymous · Answer

wow. EASY!!! why was i stressing that?

myininaya · Answer

lol i was kidding satellite

anonymous · Answer

because it is math

anonymous · Answer

i was taught to multiply the whole left side by the complex fraction u-(u+1/2) and do the same on the right...

myininaya · Answer

math is the best because it is logic
english makes no sense

anonymous · Answer

haha. taking math and english.... smh...

anonymous · Answer

ooohhhh  i see you subtracted in the denominator then inverted and multiplied.  ok that works too.

anonymous · Answer

if you are into long algebra.  already annoyed that you can out-latex me! lol

anonymous · Answer

gonna grab some food. will be back to annoy you guys in a little ;)
thank you both a lot!

anonymous · Answer

now you are going to out algebra me too.  not fair

myininaya · Answer

lol no shorter ways are better than longer ways lol
i can only out latex you when you are drunk