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anonymous

  • one year ago

How many solutions does the equation have? 4(2x+3)=2(3x-4)

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  1. Vocaloid
    • one year ago
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    start by dividing both sides by 2

  2. anonymous
    • one year ago
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    A. one solution B. infinite solutions C. no solution

  3. anonymous
    • one year ago
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    is it B

  4. anonymous
    • one year ago
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    i will metal and fan

  5. Vocaloid
    • one year ago
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    again, start by dividing both sides by 2

  6. Vocaloid
    • one year ago
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    4(2x+3)/2 = ?

  7. anonymous
    • one year ago
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    4.5x

  8. Vocaloid
    • one year ago
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    nope, not quite hint: 4(A)/2 = 2(A) 4(2x+3)/2 = ?

  9. anonymous
    • one year ago
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    2x+3= 5 4*5=20 20/2=10

  10. Vocaloid
    • one year ago
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    nope, not quite 2x + 3 is not 5. x is attached to the 2, so you can't put them together

  11. Vocaloid
    • one year ago
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    |dw:1443751103915:dw|

  12. anonymous
    • one year ago
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    okay so how do i do it

  13. Vocaloid
    • one year ago
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    |dw:1443751149996:dw|

  14. anonymous
    • one year ago
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    ya

  15. Vocaloid
    • one year ago
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    good, now we have 2(2x + 3) = (3x-4)

  16. Vocaloid
    • one year ago
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    now let's focus on the left side 2(2x+3) = ?

  17. anonymous
    • one year ago
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    so it would be 5(2x)

  18. Vocaloid
    • one year ago
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    nope, remember what I said before. 2x + 3 is not 5, you can't put them together since x is attached to 2

  19. anonymous
    • one year ago
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    no the 2 on the other side how do i do it then

  20. Vocaloid
    • one year ago
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    hint: we'll be using the distributive property A(B+C) = A*B + A*C 2(2x + 3) = _________ follow the pattern

  21. anonymous
    • one year ago
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    4x+5=20x

  22. Vocaloid
    • one year ago
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    nope, not quite...

  23. Vocaloid
    • one year ago
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    |dw:1443751394748:dw|

  24. Vocaloid
    • one year ago
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    A = 2 B = 2x C = 3 A*B + A*C = ?

  25. anonymous
    • one year ago
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    ya so 2*2x=4x right

  26. Vocaloid
    • one year ago
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    right, that's part of it, keep going A*C = ?

  27. anonymous
    • one year ago
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    2*3=6 right

  28. Vocaloid
    • one year ago
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    good, that gives us 2x + 6 = 3x - 4 now subtract 2x from each side

  29. anonymous
    • one year ago
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    6x=-3x

  30. Vocaloid
    • one year ago
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    nope, not quite... 2x + 6 - 2x = ?

  31. anonymous
    • one year ago
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    2x+6=8x

  32. anonymous
    • one year ago
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    8x-2x=6x

  33. Vocaloid
    • one year ago
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    remember what I said earlier

  34. anonymous
    • one year ago
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    oh okay

  35. Vocaloid
    • one year ago
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    hint: 2x - 2x = ?

  36. anonymous
    • one year ago
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    0

  37. Vocaloid
    • one year ago
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    good, so 2x + 6 - 2x = ?

  38. anonymous
    • one year ago
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    so it would be 6x

  39. Vocaloid
    • one year ago
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    nope, not quite

  40. Vocaloid
    • one year ago
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    2x + 6 - 2x = ?

  41. anonymous
    • one year ago
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    2x +6 = 8x 2x-2x=0 8x+0=8x right

  42. Vocaloid
    • one year ago
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    not quite... we said that 2x - 2x = 0 so 2x + 6 - 2x = ?

  43. Vocaloid
    • one year ago
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    hint: what's the difference between 2x - 2x and 2x + 6 - 2x ?

  44. anonymous
    • one year ago
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    there is a 6

  45. Vocaloid
    • one year ago
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    good, so 2x + 6 - 2x = ?

  46. anonymous
    • one year ago
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    would it be just 6

  47. Vocaloid
    • one year ago
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    yes! 2x - 2x = 0 2x + 6 - 2x = 6 now let's move to the right side 3x - 2x - 4 = ?

  48. anonymous
    • one year ago
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    i know you probaly dont want to help me because i am dum

  49. Vocaloid
    • one year ago
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    don't say that, I'm happy to help anyone in need

  50. Vocaloid
    • one year ago
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    3x - 2x = ?

  51. anonymous
    • one year ago
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    5x

  52. Vocaloid
    • one year ago
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    hint: 3 - 2 = 1 3x - 2x = ?

  53. anonymous
    • one year ago
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    1 imean

  54. anonymous
    • one year ago
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    1x

  55. Vocaloid
    • one year ago
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    good, 3x - 2x = 1x = x that gives us: 6 = x - 4 now add 4 to each side

  56. anonymous
    • one year ago
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    6+4=10 -4+4=0

  57. Vocaloid
    • one year ago
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    good, so x = 10 there is only one solution, so our answer is A

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