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MichaelaRose Group Title

Explain how to get x=3 from the equation: (5x - 1)/2 + (-3x - 1)/4 = 9/2

  • 2 years ago
  • 2 years ago

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  1. saifoo.khan Group Title
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    \[\frac{5x-1}{2} + \frac{-3x-1}{4} = \frac92\]that?

    • 2 years ago
  2. MichaelaRose Group Title
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    Yes

    • 2 years ago
  3. saifoo.khan Group Title
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    Ok, find the LCD of the left side. it will be 4. so we can write as, \[\frac{2(5x-1) +(-3x - 1)}{4} = \frac92\]Agree?

    • 2 years ago
  4. MichaelaRose Group Title
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    Okay..

    • 2 years ago
  5. saifoo.khan Group Title
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    Now try solving further..

    • 2 years ago
  6. MichaelaRose Group Title
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    Simplify the top?

    • 2 years ago
  7. saifoo.khan Group Title
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    Yes.

    • 2 years ago
  8. MichaelaRose Group Title
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    \[(10x-1) +(-3x-1)/4 =9/2\]

    • 2 years ago
  9. saifoo.khan Group Title
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    a mistake, it's 10x - 2

    • 2 years ago
  10. MichaelaRose Group Title
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    oh yeah, that's what I meant haha

    • 2 years ago
  11. saifoo.khan Group Title
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    ok.. move forward..

    • 2 years ago
  12. MichaelaRose Group Title
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    \[7x-3/4 = 9/2\]

    • 2 years ago
  13. saifoo.khan Group Title
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    good going.. now cross multiply.

    • 2 years ago
  14. MichaelaRose Group Title
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    |dw:1335241220694:dw|

    • 2 years ago
  15. saifoo.khan Group Title
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    \[14x - 6 = 36\]

    • 2 years ago
  16. MichaelaRose Group Title
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    Oh, okay. So then I add six to both sides?

    • 2 years ago
  17. saifoo.khan Group Title
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    Perfect..

    • 2 years ago
  18. MichaelaRose Group Title
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    then I divide both sides by 14 and get x=2.78

    • 2 years ago
  19. saifoo.khan Group Title
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    seems correct.

    • 2 years ago
  20. MichaelaRose Group Title
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    Yay!

    • 2 years ago
  21. saifoo.khan Group Title
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    ;D

    • 2 years ago
  22. MichaelaRose Group Title
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    Thanks! (:

    • 2 years ago
  23. saifoo.khan Group Title
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    Welcome.

    • 2 years ago
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