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misswiss123

Solve the equation: 2/5 - 3/x = 1/(5x)

  • one year ago
  • one year ago

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  1. gaara438125
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    \[\frac{ 2 }{ 5 } - \frac{ 3 }{ x } = \frac{ 1 }{ 5x }\] what's the LCD?

    • one year ago
  2. misswiss123
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    I don't know

    • one year ago
  3. gaara438125
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    \[\frac{ 2 }{ 3 } +\frac{ 7 }{ x } + \frac{ 32 }{ 6x }\] the LCD would be 6x for all the denominators can multiply into 6x 3 * 2x | x * 6 | 6x * 1 |

    • one year ago
  4. gaara438125
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    what ever you multiply the denominator by you HAVE to multiply the same number to the numerator.

    • one year ago
  5. misswiss123
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    x=8 ?

    • one year ago
  6. gaara438125
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    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

    • one year ago
  7. gaara438125
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    lowest number*

    • one year ago
  8. misswiss123
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    1?

    • one year ago
  9. gaara438125
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    touche -.-" lol i meant without dividing 5, x and 5x can ALL equal 5x

    • one year ago
  10. misswiss123
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    I have no idea ;'(

    • one year ago
  11. jim_thompson5910
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    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?

    • one year ago
  12. jim_thompson5910
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    any ideas?

    • one year ago
  13. misswiss123
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    aaahhhhhh

    • one year ago
  14. jim_thompson5910
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    yes? no?

    • one year ago
  15. jim_thompson5910
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    If two fractions are equal, and their denominators are equal, then the numerators must be equal

    • one year ago
  16. jim_thompson5910
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    so this means that if (2x - 15)/(5x) = 1/(5x) then 2x-15 = 1

    • one year ago
  17. jim_thompson5910
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    if 2x - 15 = 1, then x = ???

    • one year ago
  18. misswiss123
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    8?

    • one year ago
  19. jim_thompson5910
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    you got it

    • one year ago
  20. misswiss123
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    Thank youu

    • one year ago
  21. jim_thompson5910
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    yw

    • one year ago
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