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anonymous

  • one year ago

Two equations are given below: a − 3b = 4 a = b − 2 What is the solution to the set of equations in the form (a, b)? (−2, −2) (−3, −1) (−9, −7) (−5, −3)

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  1. anonymous
    • one year ago
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    please help

  2. anonymous
    • one year ago
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    can anyone help?

  3. anonymous
    • one year ago
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    since you know what a is equal to plug its value into the first equation so that you have the first equation only in terms of b, then solve for b

  4. anonymous
    • one year ago
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    @AliSurfCat ok?

  5. anonymous
    • one year ago
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    I really dont know

  6. anonymous
    • one year ago
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    what is a equal to? according to the second equation

  7. anonymous
    • one year ago
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    thats the thing I dont know:(

  8. anonymous
    • one year ago
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    if i show you this, z = 10, what is z equal to?

  9. anonymous
    • one year ago
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    10

  10. anonymous
    • one year ago
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    perfect, now if i show you this, a = b − 2, what is a equal to?

  11. anonymous
    • one year ago
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    a equals 4

  12. anonymous
    • one year ago
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    a equals b - 2

  13. anonymous
    • one year ago
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    and be equals 6

  14. anonymous
    • one year ago
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    no, a equals b - 2

  15. anonymous
    • one year ago
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    okay

  16. anonymous
    • one year ago
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    ok lets make sure you understand this, if i show you j = 5i +z - 2, what is j equal to?

  17. anonymous
    • one year ago
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    5i +z - 2

  18. anonymous
    • one year ago
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    perfect :)

  19. anonymous
    • one year ago
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    ok back to your question, so we know a is equal to b - 2

  20. anonymous
    • one year ago
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    since a is equal to b -2 can you please replace a in the first equation with b -2 since they equal the same thing

  21. anonymous
    • one year ago
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    ok, b-2 − 3b = 4

  22. anonymous
    • one year ago
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    perfect :)

  23. anonymous
    • one year ago
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    now can you solve for b? with that equation b -2 -3b = 4

  24. anonymous
    • one year ago
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    cna you help me on this one?

  25. anonymous
    • one year ago
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    sure

  26. anonymous
    • one year ago
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    to solve for b we need to find out what b equals, so we have an equation that has only numbers and the variable b, so we need to perform some arithmetic on the equation to get b by itself on one side of the equals sign

  27. anonymous
    • one year ago
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    so lets start by only getting terms with a b in them on one side, so if you have b - 2 - 3b = 4, what would be a good step to take so that there are only terms with b in them on the left side?

  28. anonymous
    • one year ago
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    how can i get rid of the -2 on the left side?

  29. anonymous
    • one year ago
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    ok

  30. anonymous
    • one year ago
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    what happens if we add 2 on both sides of the equation, what do you get?

  31. anonymous
    • one year ago
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    you get 6

  32. anonymous
    • one year ago
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    i get 6 on the right hand side of the equals sign but what about on the left side?

  33. anonymous
    • one year ago
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    b - 2 + 2 - 3b = 4 + 2 b - 2 + 2 - 3b = 6

  34. anonymous
    • one year ago
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    hey I have a few minutes left to turn this in please help

  35. anonymous
    • one year ago
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    i am helping, if you just want the answer, i cant do that

  36. anonymous
    • one year ago
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    I dont but think it is A

  37. anonymous
    • one year ago
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    good luck bud

  38. anonymous
    • one year ago
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    ok well thanks

  39. anonymous
    • one year ago
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    if you change your mind and want to keep working through it let me know

  40. anonymous
    • one year ago
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    I do :)

  41. anonymous
    • one year ago
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    ok so we added 2 to both sides to get this b - 2 + 2 - 3b = 4 + 2 b - 2 + 2 - 3b = 6 can you simplify this and tell me what we get?

  42. anonymous
    • one year ago
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    b-4-3b=6

  43. anonymous
    • one year ago
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    close, but -2 + 2 is not equal to -4

  44. anonymous
    • one year ago
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    ohhh sorry got a little confused

  45. anonymous
    • one year ago
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    ok so -2 + 2 = what?

  46. anonymous
    • one year ago
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    it eaquals 0

  47. anonymous
    • one year ago
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    perfect, now we have b + 0 - 3b=6 which equals b - 3b = 6

  48. anonymous
    • one year ago
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    can you simplify b - 3b = 6 by combining the b terms?

  49. anonymous
    • one year ago
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    how do I do that

  50. anonymous
    • one year ago
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    if i have 1b and i take away 3b's how many b's do i have?

  51. anonymous
    • one year ago
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    do I just do 3b=6???

  52. anonymous
    • one year ago
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    1b - 3b

  53. anonymous
    • one year ago
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    --2b

  54. anonymous
    • one year ago
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    correct

  55. anonymous
    • one year ago
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    so we are almost done we have -2b = 6, now how can you get b by itself?

  56. anonymous
    • one year ago
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    how can we get rid of the -2?

  57. anonymous
    • one year ago
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    turn it into a 1

  58. anonymous
    • one year ago
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    by adding 2 on both sides

  59. anonymous
    • one year ago
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    by dividing both sides by -2

  60. anonymous
    • one year ago
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    yes thats what I meant lol

  61. anonymous
    • one year ago
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    -2/-2 = 1 so (-2b)/-2 = 6/(-2) 1b = 6/(-2) b = 6 / (-2)

  62. anonymous
    • one year ago
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    so what is 6 / (-2), 6 divided by -2

  63. anonymous
    • one year ago
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    -3

  64. anonymous
    • one year ago
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    perfect, so b = -3, so now you know the answer, do you see an answer where the second number is -3? (a, b) (a, -3)

  65. anonymous
    • one year ago
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    which one is it?

  66. anonymous
    • one year ago
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    we can find a very easily also looking at the second equation we have a = b - 2 so if i plug in b i get a = -3 -2

  67. anonymous
    • one year ago
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    so it is D?

  68. anonymous
    • one year ago
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    correct :)

  69. anonymous
    • one year ago
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    yay thanks so much

  70. anonymous
    • one year ago
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    you're welcome, please do some practice on this stuff or your future classes in college will be very difficult, visit khan academy and get help on here and other sites also

  71. anonymous
    • one year ago
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    I do

  72. anonymous
    • one year ago
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    good :)

  73. anonymous
    • one year ago
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    have a good day

  74. anonymous
    • one year ago
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    you too

  75. TheViper
    • one year ago
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    nice to see too much long conversation in such a simple question

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