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anonymous

  • 5 years ago

1/6 - x/2 = x -5/3

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  1. anonymous
    • 5 years ago
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    The x term on the right... can you convert it to an equivalent fraction over 2?

  2. anonymous
    • 5 years ago
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    I don't know how to do that.

  3. anonymous
    • 5 years ago
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    \[\frac{1}{6}+\bigg (-\frac{1}{6} \bigg) +\frac{-x}{2}=\frac {x}{1} + \frac {-5}{3}+\bigg (-\frac{1}{6} \bigg)\]

  4. anonymous
    • 5 years ago
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    Bring the 1/6 over to the left. Also, Make the x on the right a fraction (every number is a fraction over one).

  5. anonymous
    • 5 years ago
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    Now, can you show me how it's done?

  6. anonymous
    • 5 years ago
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    Ok, from the equation above, we now have... \[\frac{-x}{2}=\frac {x}{1} + \frac {-5}{3}+\bigg (-\frac{1}{6} \bigg) \Rightarrow \] \[\frac{-x}{2}=\frac {x}{1} + \frac {-10}{6}+\bigg (-\frac{1}{6} \bigg ) \Rightarrow \frac{-x}{2}=\frac {x}{1} + \frac {-9}{6}\]

  7. anonymous
    • 5 years ago
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    Any questions so far? I had to double the top and bottom of -5/3 so I could add it to -1/6. Oooops.. Just spotted a math error should be... \[\frac{-x}{2}=\frac {x}{1} + \frac {-10}{6}+\bigg (-\frac{1}{6} \bigg ) \Rightarrow \frac{-x}{2}=\frac {x}{1} + \frac {-11}{6}\]

  8. anonymous
    • 5 years ago
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    Are you following so far? If so, what is the next step????

  9. anonymous
    • 5 years ago
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    Well, I'm just writing down the way that you've done it.So, what's the answer?

  10. anonymous
    • 5 years ago
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    OK - now you can get rid of the fractions. 6 is the biggest denominator and every other denoninator divides into it. Can you multiply both sides through by 6?

  11. anonymous
    • 5 years ago
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    I mean, I know how to multiply the bottom part,but, the top part is confusing.

  12. anonymous
    • 5 years ago
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    OK, so we will multiply each term by 6/1, canceling top and bottom as we go. It will take me a while to format this so try on your own while I'm typing. OK. :-)

  13. anonymous
    • 5 years ago
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    \[\frac{6}{1}*\frac{-x}{2}=\frac{6}{1}*\frac {x}{1} + \frac {-11}{6}*\frac{6}{1}\] OK. next we need to cancel (we're using common factors - but I won't show that step I'll just do it.

  14. anonymous
    • 5 years ago
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    \[-3x=6x+(-11)\] Now the fractions are eliminated. Making sense (check all my math).

  15. anonymous
    • 5 years ago
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    That part was kind of crucial so tell me if any of that confused you.

  16. anonymous
    • 5 years ago
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    Yes, it was, and, I'm still not following you.

  17. anonymous
    • 5 years ago
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    I mean, all I really need is the answer.

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