## misswiss123 Group Title Solve the equation: 2/5 - 3/x = 1/(5x) one year ago one year ago

1. gaara438125 Group Title

$\frac{ 2 }{ 5 } - \frac{ 3 }{ x } = \frac{ 1 }{ 5x }$ what's the LCD?

2. misswiss123 Group Title

I don't know

3. gaara438125 Group Title

$\frac{ 2 }{ 3 } +\frac{ 7 }{ x } + \frac{ 32 }{ 6x }$ the LCD would be 6x for all the denominators can multiply into 6x 3 * 2x | x * 6 | 6x * 1 |

4. gaara438125 Group Title

what ever you multiply the denominator by you HAVE to multiply the same number to the numerator.

5. misswiss123 Group Title

x=8 ?

6. gaara438125 Group Title

let's go back to the original equation and look at that in the denominator what is the highest number they can all equal? 5, x, and 5x

7. gaara438125 Group Title

lowest number*

8. misswiss123 Group Title

1?

9. gaara438125 Group Title

touche -.-" lol i meant without dividing 5, x and 5x can ALL equal 5x

10. misswiss123 Group Title

I have no idea ;'(

11. jim_thompson5910 Group Title

2/5 is equivalent to (2x)/(5x) if you multiply top and bottom by x -3/x is equivalent to 15/(5x) if you multiply top and bottom by 5 Notice how they now have the same denominator of 5x This means 2/5 - 3/x = 1/(5x) is the same as (2x)/(5x) - 15/(5x) = 1/(5x) which allows you to combine the two fractions on the left side to get (2x - 15)/(5x) = 1/(5x) What's next?

12. jim_thompson5910 Group Title

any ideas?

13. misswiss123 Group Title

aaahhhhhh

14. jim_thompson5910 Group Title

yes? no?

15. jim_thompson5910 Group Title

If two fractions are equal, and their denominators are equal, then the numerators must be equal

16. jim_thompson5910 Group Title

so this means that if (2x - 15)/(5x) = 1/(5x) then 2x-15 = 1

17. jim_thompson5910 Group Title

if 2x - 15 = 1, then x = ???

18. misswiss123 Group Title

8?

19. jim_thompson5910 Group Title

you got it

20. misswiss123 Group Title

Thank youu

21. jim_thompson5910 Group Title

yw