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trenvilla

  • 2 years ago

9|9 – 8x| = 2x + 3

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  1. juantweaver
    • 2 years ago
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    begin by isolating the absolute value...

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

  3. Denebel
    • 2 years ago
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    So what does that tell you about this equation?

  4. MathLegend
    • 2 years ago
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    @trenvilla did you get the answer?

  5. trenvilla
    • 2 years ago
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    no

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

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

  8. MathLegend
    • 2 years ago
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    Distribute

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

  10. trenvilla
    • 2 years ago
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    is that right

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

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

  13. trenvilla
    • 2 years ago
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    ok so 84-74

  14. MathLegend
    • 2 years ago
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    No.

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

  16. MathLegend
    • 2 years ago
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    Is 72 a negative or a positive?

  17. trenvilla
    • 2 years ago
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    pos

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

  19. MathLegend
    • 2 years ago
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    So in this case it is negative.

  20. trenvilla
    • 2 years ago
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    o ok

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

  22. trenvilla
    • 2 years ago
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    i dont no how

  23. trenvilla
    • 2 years ago
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    wont u have to make it -70

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

  25. MathLegend
    • 2 years ago
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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

  26. trenvilla
    • 2 years ago
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    ok

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

  28. MathLegend
    • 2 years ago
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    81 = 74x + 3

  29. trenvilla
    • 2 years ago
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    ok

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

  31. trenvilla
    • 2 years ago
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    yes

  32. MathLegend
    • 2 years ago
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    So what do you get?

  33. trenvilla
    • 2 years ago
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    84=74x

  34. MathLegend
    • 2 years ago
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    No.

  35. MathLegend
    • 2 years ago
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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

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

  37. trenvilla
    • 2 years ago
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    o ya so 78+74x

  38. MathLegend
    • 2 years ago
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    78 = 74x

  39. trenvilla
    • 2 years ago
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    ya i ment =

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

  41. MathLegend
    • 2 years ago
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    simplify that and what do you get?

  42. trenvilla
    • 2 years ago
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    1.05'

  43. trenvilla
    • 2 years ago
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    ia thtat right

  44. MathLegend
    • 2 years ago
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    Simplify as a fraction

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

  46. trenvilla
    • 2 years ago
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    1 4 over 74

  47. MathLegend
    • 2 years ago
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    Okay we have 78/74

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

  49. trenvilla
    • 2 years ago
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    39/37

  50. MathLegend
    • 2 years ago
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    That is your answer

  51. trenvilla
    • 2 years ago
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    thank you for all your help

  52. Denebel
    • 2 years ago
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    |dw:1347162650237:dw|

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