## spiderman10 2 years ago Solve the equation 3/2 - 1/x-4 = -2/2x-8 . Use complete sentences to explain how you solved this equation.

1. cwrw238

first you find the LCD of 2, x-4 and 2x-8 do you know why this is?

2. spiderman10

is it 2 ?

3. spiderman10

hello ? lol

4. cwrw238

no LCD is the lowest common denominate r that means the lowest term into which each term will divide here it is 2x - 8 2x - 8 / 2 = x -4 2x - 8 / x - 4 = 2 and of course 2x - 8 / 2x - 8 = 1

5. spiderman10

so all the terms will go into 2x-8 ?

6. cwrw238

all the denominators will so we multiply through by 2x - 8:- |dw:1372281835644:dw|

7. cwrw238

oooh - thats a illy mistake of mine look at the second term it should be 1 * 2 NOT 1 * x - 4

8. cwrw238

so this reduces to 3(x - 4) - 2 = -2 which is easy to solve

9. cwrw238

do you understand the mistake i made?

10. spiderman10

i got x=4

11. cwrw238

right

12. spiderman10

thanks

13. cwrw238

hold it - 4 cannot be a solution because 1 / x -4 = 1 /4 - 4 = 1/0 which has no value there are NO solutions to this equation