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MichaelaRose

  • 4 years ago

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

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

  2. MichaelaRose
    • 4 years ago
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    Yes

  3. saifoo.khan
    • 4 years ago
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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?

  4. MichaelaRose
    • 4 years ago
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    Okay..

  5. saifoo.khan
    • 4 years ago
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    Now try solving further..

  6. MichaelaRose
    • 4 years ago
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    Simplify the top?

  7. saifoo.khan
    • 4 years ago
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    Yes.

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

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

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

  11. saifoo.khan
    • 4 years ago
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    ok.. move forward..

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

  13. saifoo.khan
    • 4 years ago
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    good going.. now cross multiply.

  14. MichaelaRose
    • 4 years ago
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    |dw:1335241220694:dw|

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

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

  17. saifoo.khan
    • 4 years ago
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    Perfect..

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

  19. saifoo.khan
    • 4 years ago
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    seems correct.

  20. MichaelaRose
    • 4 years ago
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    Yay!

  21. saifoo.khan
    • 4 years ago
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    ;D

  22. MichaelaRose
    • 4 years ago
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    Thanks! (:

  23. saifoo.khan
    • 4 years ago
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    Welcome.

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