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Grazes

  • 2 years ago

If a is not 0, a/x=b/y, and a/2b=c(3*(x/y), what is the value of c?

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  1. Grazes
    • 2 years ago
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    |dw:1344036321046:dw| Just the 2 equations on the top

  2. lgbasallote
    • 2 years ago
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    so \[\huge a = \frac{bx}{y}\] agree?

  3. Grazes
    • 2 years ago
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    yep

  4. lgbasallote
    • 2 years ago
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    so if i substitute that into the second equation i will have \[\huge \frac{\frac{bx}{y}}{2b} = \frac{3xc}{y}\] you following?

  5. Grazes
    • 2 years ago
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    yup

  6. lgbasallote
    • 2 years ago
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    so again i simplify \[\huge \frac{bx}{2by} = \frac{3xc}{y}\] do you see the next step now?

  7. Grazes
    • 2 years ago
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    ohhh You can do that?

  8. lgbasallote
    • 2 years ago
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    which one?

  9. Grazes
    • 2 years ago
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    bx/y/2b=bx/2by

  10. lgbasallote
    • 2 years ago
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    \[\huge \frac{\frac{bx}{y}}{2b} \implies \frac{bx}{y} \times \frac{1}{2b} \implies \frac{bx}{2by}\] see it now?

  11. Grazes
    • 2 years ago
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    Okay.

  12. lgbasallote
    • 2 years ago
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    so do you see what you can do in \[\huge \frac{bx}{2by} = \frac{3xc}{y}\]

  13. lgbasallote
    • 2 years ago
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    hint: think of cancellation

  14. Grazes
    • 2 years ago
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    I got 6xc=x

  15. lgbasallote
    • 2 years ago
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    you can simplify more

  16. lgbasallote
    • 2 years ago
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    both sides have x right?

  17. Grazes
    • 2 years ago
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    6c=0?

  18. Grazes
    • 2 years ago
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    c=0?

  19. lgbasallote
    • 2 years ago
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    x/x is 0?

  20. lgbasallote
    • 2 years ago
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    a number divided by itself is 0?`

  21. lgbasallote
    • 2 years ago
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    is 2/2 = 0? 3/3 = 0? 4/4 = 0?

  22. Grazes
    • 2 years ago
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    one.

  23. Grazes
    • 2 years ago
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    same thing :/

  24. lgbasallote
    • 2 years ago
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    right

  25. lgbasallote
    • 2 years ago
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    it's not same thing

  26. lgbasallote
    • 2 years ago
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    write it down and you'll see it's not the same thing

  27. Grazes
    • 2 years ago
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    1=0

  28. Grazes
    • 2 years ago
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    c=1/6, then.

  29. lgbasallote
    • 2 years ago
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    correct

  30. lgbasallote
    • 2 years ago
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    and 1 is not equal to 0

  31. lgbasallote
    • 2 years ago
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    anyway c = 1/6

  32. Grazes
    • 2 years ago
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    thanks

  33. lgbasallote
    • 2 years ago
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    welcome ^_^

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