Solve. 3/x-1 +2/x=4
A) 0.25, 2
B)1/2, 2
C)1/2 , 1
D) .25 , 1

Question

Solve.    3/x-1 +2/x=4
A) 0.25, 2
B)1/2, 2
C)1/2 , 1
D) .25 , 1

hero · Answer

$\large\frac{3}{x-1} + \frac{2}{x} = 4 $

anonymous · Answer

|dw:1342563780109:dw|

anonymous · Answer

yeah

hero · Answer

First write 4 as a fraction: $\frac{4}{1}$

anonymous · Answer

alright

hero · Answer

Next multiply $\frac{4}{1}$ by $\frac{x}{x}$

hero · Answer

Afterwards, subtract $\frac{2}{x}$ from both sides

hero · Answer

You should have: 

$\frac{3}{x-1} = \frac{4x - 2}{x}$

hero · Answer

Now cross multiply, and continue solving for x

hero · Answer

Have you cross multiplied yet?

anonymous · Answer

i dont understand how to cross multiply it

anonymous · Answer

i tried a couple different ways but it was confusing me and sorry it took so long had to help a family member with something

hero · Answer

You mean you don't know how to multiply (3)(x) = (4x-2)(x-1) ?

hero · Answer

I just cross multiplied it for you

hero · Answer

All you have to do is simplify it from there

anonymous · Answer

the (3)(x) is easy but the other half confuses me

hero · Answer

3x = x(4x-2) - 1(4x-2)
3x = 4x^2 - 2x - 4x + 2
3x = 4x^2 - 6x + 2
  0 = 4x^2 - 6x - 3x + 2 
  0 = 4x^2 - 9x + 2
  0 = 4x^2 -8x - 1x + 2
  0 = 4x(x-2) -1(x-2)
  0 = (x-2)(4x - 1)

Continue solving for x

anonymous · Answer

i substitued the answers from the multiple choice answers and ended up with the answer , thanks

hero · Answer

lol, you never said you had any multiple choices.

hero · Answer

x = 2, 1/4