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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.

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  1. cwrw238
    • 2 years ago
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    first you find the LCD of 2, x-4 and 2x-8 do you know why this is?

  2. spiderman10
    • 2 years ago
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    is it 2 ?

  3. spiderman10
    • 2 years ago
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    hello ? lol

  4. cwrw238
    • 2 years ago
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    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
    • 2 years ago
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    so all the terms will go into 2x-8 ?

  6. cwrw238
    • 2 years ago
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    all the denominators will so we multiply through by 2x - 8:- |dw:1372281835644:dw|

  7. cwrw238
    • 2 years ago
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    oooh - thats a illy mistake of mine look at the second term it should be 1 * 2 NOT 1 * x - 4

  8. cwrw238
    • 2 years ago
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    so this reduces to 3(x - 4) - 2 = -2 which is easy to solve

  9. cwrw238
    • 2 years ago
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    do you understand the mistake i made?

  10. spiderman10
    • 2 years ago
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    i got x=4

  11. cwrw238
    • 2 years ago
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    right

  12. spiderman10
    • 2 years ago
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    thanks

  13. cwrw238
    • 2 years ago
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    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

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