Here is the same kind of problem i need help clarifying the steps bc i keep getting confused ^_^ It in the attachment! :)

Question

anonymous · Answer

Here it is:
The options are 

A. {0.25, 2} 
B. {1/2, 2} 
C. {1/2, 1} 
D. {.25, 1}

anonymous · Answer

pretty please with a cherry on top will u help? :D

anonymous · Answer

$$\frac{3}{x-1}+\frac{2}{x}=4$$ is that it?

anonymous · Answer

yep :)

anonymous · Answer

ok here goes

anonymous · Answer

:)

anonymous · Answer

Wait doesnt x = 2?

anonymous · Answer

>.< nvm thats not one of the option i need help clarifying the steps

m · Answer

this is a long one so i'll probably make a mistake somewhere

anonymous · Answer

$$\frac{3}{x-1}+\frac{2}{x}=4$$
$$\frac{3x+2(x-1)}{x(x-1)}=4$$
$$\frac{5x-2}{x(x-1)}=4$$
$$5x-2=4x(x-1)$$
$$5x-2=4x^2-4x$$
$$4x^2-9x+2=0$$
$$(4x-1)(x-2)=0$$
$$x=\frac{1}{4}$$ or $$x=2$$

anonymous · Answer

oh i didn't see the options.  it is A.

m · Answer

satellite73 is a pro :) gj

anonymous · Answer

ahhhh i see now!! :) Thanks it would A, then for the most part i got it right!!