Question

I am really struggling with this one! It involves fractions. I need to solve it algebraically. 1/4=3-2x-1/x+2. the last part of this equation is a fraction.

Answer 1

is it
1 1
----- = 3-2x - -------- ???
4 x-2

Answer 2

not quite 2x-1 over x+2

Answer 3

ok..

Answer 4

1 2x - 1
----- = 3 - --------
4 x - 2

1 3(x-2) - (2x -1)
----- = --------------
4 x-2

1 3x- 6 - 2x +1
----- = --------------
4 x-2

1 x - 5
----- = --------
4 x-2

Answer 5

cross-multiplying

1(x-2) = 4(x-5)
x-2 = 4x - 20
-2 + 20 = 4x - x
18 = 3x
18/3 = x
6 = x

Answer 6

if u r satisfied with the solution, pls click GOOD ANSWER button for me... (:-}))

Answer 7

\[\frac{1}{4}=3-\frac{2x-1}{x+2}\]?

Answer 8

oh yeah, i made a mistake then........

Answer 9

\[\frac{1}{4}-3=-\frac{2x-1}{x+2}\]
\[-\frac{11}{4}=-\frac{2x-1}{x+2}\]
\[\frac{11}{4}=\frac{2x-1}{x+2}\]
\[11(x+2)=4(2x-1)\]
\[11x+22=8x-4\]
\[3x=-26\]
\[x=-\frac{26}{3}\]

Answer 10

1 2x - 1
----- = 3 - --------
4 x + 2

1 3(x+2) - (2x -1)
----- = --------------
4 x+2

1 3x+ 6 - 2x +1
----- = --------------
4 x+2

1 x + 7
----- = --------
4 x+2

Answer 11

cross-multiplying

1(x+2) = 4(x+7)
x+2 = 4x + 28
2 - 28 = 4x - x
-26 = 3x
-26/3 = x

Answer 12

Okay guys and girls. i am not sure where the good answer button is. Sorry this is my first time.

Answer 13

harkirat is correct, but no need to add fractions if you want to just cross multiply

Answer 14

the GOOD ANSWER button is on the extreme right of the bar above this answer, in which my name is written..........

Answer 15

I would rather cross multiply

Answer 16

r u using IE browser??

Answer 17

nevermind it allowed me to vote. Thanks

Answer 18

u r welcome :))