Question

hat is the solution to the rational equation (3/2) - (1/x-4) = (-2/2x-8) ?

Answer 1

Hint:

\(\large\frac{3}{2} - \frac{1}{x-4} = -\frac{2}{2(x-4)}\)

Answer 2

Cancel the 2/2 on the right side to get

\(\large\frac{3}{2} - \frac{1}{x-4} = \frac{1}{x-4}\)

Then add 1/(x-4) to both sides to get

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

Answer 3

You should be able to finish the rest from there

Answer 4

i got 14/3

Answer 5

???

Answer 6

I got 16 in the numerator. Double check your work.

Answer 7

then what would the final answer be , no solution right ?

Answer 8

Why would it be no solution? x = 16/3

How is that no solution?

Answer 9

this is what i have to pick from :
No solution

x = -4

x = 2

x = 4

Answer 10

Oh...I made a mistake

Answer 11

You should have gotten

3/2 = 0 after adding 1/(x-4) to both sides leaving no solution.

Answer 12

3/2 = 0 cannot be true, therefore no solution.

Answer 13

okay then .