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trenvilla

9|9 – 8x| = 2x + 3

  • one year ago
  • one year ago

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  1. juantweaver
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    begin by isolating the absolute value...

    • one year ago
  2. Denebel
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    Whatever in the absolute value can be negative or positive |x| = 3 means x can equal 3 or -3

    • one year ago
  3. Denebel
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    So what does that tell you about this equation?

    • one year ago
  4. MathLegend
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    @trenvilla did you get the answer?

    • one year ago
  5. trenvilla
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    no

    • one year ago
  6. MathLegend
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    @trenvilla sorry for taking so long... however lets turn the absolute value symbols into parantheses.

    • one year ago
  7. trenvilla
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    ok 9(9 – 8x) = 2x + 3

    • one year ago
  8. MathLegend
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    Distribute

    • one year ago
  9. trenvilla
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    ok so (81+-72)=2x+3

    • one year ago
  10. trenvilla
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    is that right

    • one year ago
  11. MathLegend
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    81-72x=2x+3 (Personally, I hate writing +-)

    • one year ago
  12. MathLegend
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    So combine like terms... if I were you I would keep my 'x' positive.

    • one year ago
  13. trenvilla
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    ok so 84-74

    • one year ago
  14. MathLegend
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    No.

    • one year ago
  15. MathLegend
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    81-72x=2x+3 lets look at our 'x' values first.

    • one year ago
  16. MathLegend
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    Is 72 a negative or a positive?

    • one year ago
  17. trenvilla
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    pos

    • one year ago
  18. MathLegend
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    No, in this equation it has a minus sign in front of it right?

    • one year ago
  19. MathLegend
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    So in this case it is negative.

    • one year ago
  20. trenvilla
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    o ok

    • one year ago
  21. MathLegend
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    So how can we combine -72x and the positive 2x to keep the answer POSITIVE?

    • one year ago
  22. trenvilla
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    i dont no how

    • one year ago
  23. trenvilla
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    wont u have to make it -70

    • one year ago
  24. MathLegend
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    No, you can either make this positive 74 OR -74

    • one year ago
  25. MathLegend
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    Remember... if we had -72x = 2x If we combine we need the 'x' variable to be on one side of the equal sign

    • one year ago
  26. trenvilla
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    ok

    • one year ago
  27. MathLegend
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    Okay, so lets add -72x to the positive 2x

    • one year ago
  28. MathLegend
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    81 = 74x + 3

    • one year ago
  29. trenvilla
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    ok

    • one year ago
  30. MathLegend
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    Can you simplify this by combing the 81 and 3?

    • one year ago
  31. trenvilla
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    yes

    • one year ago
  32. MathLegend
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    So what do you get?

    • one year ago
  33. trenvilla
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    84=74x

    • one year ago
  34. MathLegend
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    No.

    • one year ago
  35. MathLegend
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    You had a 81 and a positive 3 on the other side of the equal sign to get the 3 to the opposite side you want to subtract 3

    • one year ago
  36. MathLegend
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    Which would keep your 'x' on one side and the regular number on the other side

    • one year ago
  37. trenvilla
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    o ya so 78+74x

    • one year ago
  38. MathLegend
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    78 = 74x

    • one year ago
  39. trenvilla
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    ya i ment =

    • one year ago
  40. MathLegend
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    then you divide and you get \[\frac{ 78 }{ 74}\]

    • one year ago
  41. MathLegend
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    simplify that and what do you get?

    • one year ago
  42. trenvilla
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    1.05'

    • one year ago
  43. trenvilla
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    ia thtat right

    • one year ago
  44. MathLegend
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    Simplify as a fraction

    • one year ago
  45. MathLegend
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    That is right as a decimal but you would ideally simplify to a fraction

    • one year ago
  46. trenvilla
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    1 4 over 74

    • one year ago
  47. MathLegend
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    Okay we have 78/74

    • one year ago
  48. MathLegend
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    So if I were you I would divide the numerator by 2 then the denominator by 2

    • one year ago
  49. trenvilla
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    39/37

    • one year ago
  50. MathLegend
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    That is your answer

    • one year ago
  51. trenvilla
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    thank you for all your help

    • one year ago
  52. Denebel
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    |dw:1347162650237:dw|

    • one year ago
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