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anonymous

  • one year ago

PLEASE HELP Two equations are given below: m + 4n = 8 m = n − 2 What is the solution to the set of equations in the form (m, n)? (4, 6) (2, 4) (0, 2) (6, 8)

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  1. Vocaloid
    • one year ago
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    first, let's leave the second equation alone for now and just look at m+4n = 8 what do you get when you subtract 4n from each side?

  2. anonymous
    • one year ago
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    M-N=4

  3. Vocaloid
    • one year ago
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    hm, not quite, let's just try the left side first what happens when you subtract 4n from m+4n?

  4. anonymous
    • one year ago
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    M

  5. Vocaloid
    • one year ago
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    right! now let's look at the right side what happens when you subtract 4n from 8?

  6. anonymous
    • one year ago
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    8N?

  7. Vocaloid
    • one year ago
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    nope, since 8 has no variable and 4n has a variable, it's just 8 - 4n understand so far?

  8. anonymous
    • one year ago
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    Yes

  9. Vocaloid
    • one year ago
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    ok, so the left side of the equation is m, and the right side of the equation is 8 - 4n, which gives us m = 8 - 4n with me so far?

  10. anonymous
    • one year ago
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    yes

  11. Vocaloid
    • one year ago
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    good, so our first equation is m = 8 - 4n and our second equation is m = n - 2 we have m by itself on the left side in both equations, so we can set the two equations equal to each other 8 - 4n = n - 2 can you try solving for n now?

  12. anonymous
    • one year ago
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    I thing so would it be 4,6

  13. Vocaloid
    • one year ago
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    not quite, let's just take this one step at a time 8 - 4n = n - 2 what happens when you add 2 to each side?

  14. anonymous
    • one year ago
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    what do you mean

  15. Vocaloid
    • one year ago
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    add 2 to the left side, add 2 to the right side, and tell me what is on each side

  16. anonymous
    • one year ago
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    10-6n=2n-4

  17. Vocaloid
    • one year ago
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    not quite, remember we want to leave 4n and n alone because these are variables

  18. anonymous
    • one year ago
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    oh

  19. Vocaloid
    • one year ago
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    left side is 8 - 4n, what do you get when you add 2?

  20. anonymous
    • one year ago
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    10-4n

  21. Vocaloid
    • one year ago
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    great! the right side is n - 2, what do you get when you add 2?

  22. anonymous
    • one year ago
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    n-4

  23. Vocaloid
    • one year ago
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    not quite, what is n-2+2?

  24. anonymous
    • one year ago
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    2

  25. Vocaloid
    • one year ago
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    not quite, think of it this way n-2+2 means start with n, take away 2, then add 2 back what is n-2+2?

  26. anonymous
    • one year ago
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    2n

  27. Vocaloid
    • one year ago
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    not quite, remember that we leave n alone since its a variable one more time n-2+2=?

  28. anonymous
    • one year ago
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    oh

  29. anonymous
    • one year ago
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    so basicly we just substract 2 from to then add it back correct

  30. Vocaloid
    • one year ago
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    right, so what do we get in the end?

  31. anonymous
    • one year ago
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    2-2=0+2=2 right?

  32. Vocaloid
    • one year ago
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    uh, not quite... let me try to explain it differently I start with n marbles. I pick up 2 marbles, then I drop 2 marbles. How many marbles do I have?

  33. anonymous
    • one year ago
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    0

  34. Vocaloid
    • one year ago
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    hint: I started with n marbles

  35. anonymous
    • one year ago
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    n

  36. Vocaloid
    • one year ago
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    right! so what does n-2+2=?

  37. anonymous
    • one year ago
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    n

  38. Vocaloid
    • one year ago
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    good! so, on the left side we have 10-4n and on the right side we have n 10-4n = n now, let's leave 10 alone since it's not a variable what happens when we add 4n to each side?

  39. anonymous
    • one year ago
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    we get 8n

  40. Vocaloid
    • one year ago
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    not quite... the left side is 10-4n, what do we get when we add 4n?

  41. anonymous
    • one year ago
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    10-4n=4n

  42. Vocaloid
    • one year ago
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    not quite, please try again 10-4n+4n=?

  43. anonymous
    • one year ago
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    10-4n=6n+4n=10n?

  44. Vocaloid
    • one year ago
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    not quite, remember that we leave the 10 alone since it's not a variable (doesn't have n) 10-4n+4n = ?

  45. anonymous
    • one year ago
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    oh so 10-4n+4n=10-8n

  46. Vocaloid
    • one year ago
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    not quite... think of it this way: I start with 10, take away 4n, then add 4n. what's left?

  47. anonymous
    • one year ago
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    10-4n

  48. Vocaloid
    • one year ago
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    not quite, let's try one more time I start with 10 marbles, then I drop 4n marbles, then I pick up 4n marbles, how many marbles do I have?

  49. anonymous
    • one year ago
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    14n? I am not sure

  50. Vocaloid
    • one year ago
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    let's try something different 10-4+4=?

  51. anonymous
    • one year ago
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    14

  52. Vocaloid
    • one year ago
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    hint: A-B+B = A

  53. Vocaloid
    • one year ago
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    so, if A-B+B = A, then what is 10-4n+4n?

  54. anonymous
    • one year ago
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    14n

  55. Vocaloid
    • one year ago
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    |dw:1436906201632:dw|

  56. anonymous
    • one year ago
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    10

  57. Vocaloid
    • one year ago
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    great! so, the left side is 10 now let's move to the right side the right side is n, what do you get when you add 4n?

  58. anonymous
    • one year ago
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    4n

  59. Vocaloid
    • one year ago
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    not quite, remember that we started with n n+4n=?

  60. anonymous
    • one year ago
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    oh so we just add 4 to the N

  61. Vocaloid
    • one year ago
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    not quite... hint: n+4n = (1+4)n

  62. anonymous
    • one year ago
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    oh so the thing is 5n

  63. Vocaloid
    • one year ago
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    great! left side is 10 right side is 5n 10 = 5n can you try solving for n now?

  64. anonymous
    • one year ago
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    I believe so

  65. anonymous
    • one year ago
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    I think it would equal 0,2

  66. Vocaloid
    • one year ago
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    10 = 5n n = ?

  67. anonymous
    • one year ago
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    2

  68. Vocaloid
    • one year ago
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    great! n = 2 going back to the original problem, m = n − 2 so what is m?

  69. anonymous
    • one year ago
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    0

  70. Vocaloid
    • one year ago
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    great! m=0 n=2 so what is (m,n)?

  71. anonymous
    • one year ago
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    0,2

  72. Vocaloid
    • one year ago
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    great, we're done!

  73. anonymous
    • one year ago
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    yes

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