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misswiss123

  • 3 years ago

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

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

  2. misswiss123
    • 3 years ago
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    I don't know

  3. gaara438125
    • 3 years ago
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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 |

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

  5. misswiss123
    • 3 years ago
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    x=8 ?

  6. gaara438125
    • 3 years ago
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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

  7. gaara438125
    • 3 years ago
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    lowest number*

  8. misswiss123
    • 3 years ago
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    1?

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

  10. misswiss123
    • 3 years ago
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    I have no idea ;'(

  11. jim_thompson5910
    • 3 years ago
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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?

  12. jim_thompson5910
    • 3 years ago
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    any ideas?

  13. misswiss123
    • 3 years ago
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    aaahhhhhh

  14. jim_thompson5910
    • 3 years ago
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    yes? no?

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

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

  17. jim_thompson5910
    • 3 years ago
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    if 2x - 15 = 1, then x = ???

  18. misswiss123
    • 3 years ago
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    8?

  19. jim_thompson5910
    • 3 years ago
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    you got it

  20. misswiss123
    • 3 years ago
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    Thank youu

  21. jim_thompson5910
    • 3 years ago
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    yw

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