Question

Solve for x: (3/x)-(2/3)=5/6

Answer 1

yes

Answer 2

multiply every term by 6x to eliminate the denominators

\[\frac{3\times6x}{x} - \frac{ 2\times6x}{3} = \frac{5 \times6x}{6} \]

then

18 - 4x = 5x

Answer 3

3 - 2x/3 = 5x/6
18/6 - 4x/6 = 5x/6
18/6 = (4x + 5x)/6
18/6 = 9x/6
3 = 3/2x
2 = x

Answer 4

You don't really have to multiply every term by x to solve this

Answer 5

another question i am having difficulty with is

solve for x: 5/x^2 - 2/x = 2/x+1

Answer 6

the options are
x= 1/4 and x = 2
x= -1/4 and x = -2
x= 1/4 and x=-2
x=-1/4 and x=2

Answer 7

You should have recognized the mistake I made when I used x - 1 instead of x + 1

Answer 8

\(\frac{5}{x^2} - \frac{2}{x} = \frac{2}{x+1}\)

\(\frac{5}{x^2} - \frac{2x}{x^2} = \frac{2}{x+1}\)

\(\frac{5 - 2x}{x^2} = \frac{2}{x+1}\)

\(2x^2 = (x+1)(5-2x)\)
\(2x^2 = -2x^2 + 3x + 5\)
\(4x^2 - 3x - 5=0\)

Okay, I'm pretty sure that is correct, so now you have to double check to make sure you put the right problem and the right answer choices.

Answer 9

You must be talking about the first problem

Answer 10

\(\frac{3}{x} - \frac{2}{3} = \frac{5}{6}\)

\(\frac{3}{x} - \frac{4}{6} = \frac{5}{6}\)

\(\frac{3}{x} = \frac{5}{6} + \frac{4}{6}\)

\(\frac{3}{x} = \frac{9}{6}\)

\(18 = 9x\)

\(\frac{18}{9} = x\)
2 = x

Answer 11

You're not communicating with me so I have no idea which set of answer choices the problem you're working on refers to