Вопрос:

47. Реши уравнения: Б) -9z + 32 = 7z, 10 - 11n = 15 - 12n, 5x + 21 = 2x, 5y + 15 = 4y + 20, 25 - 12m = 45 - 8m, 14 = 2y - 2, 11 - 6z = 2 - 7z, 10n - 9 = 7n + 12, -7x - 40 = 3x, 12m + 9 = 11m + 7, 17 - 12n = 3n - 13, 6x + 5 = 7x + 3, 15 + 4y = y, 24 - 15m = 15 - 14m, -10z + 75 = -5z, 6n - 35 = n, 18 - 12x = 25 - 13x, -7m - 33 = 4m, 15z + 14 = 14z - 9, 17 - 8y = 4y - 7, 30 - 15z = 40 - 14z, 11m - 13 = 15 - 3m, 28 = 7n - 7, 8y - 15 = 7y - 12, -8x + 55 = -3x

Смотреть решения всех заданий с листа

Ответ:

Решение уравнений (раздел Б):

  1. -9z + 32 = 7z
    -9z - 7z = -32
    -16z = -32
    z = -32 / -16
    z = 2
  2. 10 - 11n = 15 - 12n
    -11n + 12n = 15 - 10
    n = 5
  3. 5x + 21 = 2x
    5x - 2x = -21
    3x = -21
    x = -21 / 3
    x = -7
  4. 5y + 15 = 4y + 20
    5y - 4y = 20 - 15
    y = 5
  5. 25 - 12m = 45 - 8m
    -12m + 8m = 45 - 25
    -4m = 20
    m = 20 / -4
    m = -5
  6. 14 = 2y - 2
    14 + 2 = 2y
    16 = 2y
    y = 16 / 2
    y = 8
  7. 11 - 6z = 2 - 7z
    -6z + 7z = 2 - 11
    z = -9
  8. 10n - 9 = 7n + 12
    10n - 7n = 12 + 9
    3n = 21
    n = 21 / 3
    n = 7
  9. -7x - 40 = 3x
    -40 = 3x + 7x
    -40 = 10x
    x = -40 / 10
    x = -4
  10. 12m + 9 = 11m + 7
    12m - 11m = 7 - 9
    m = -2
  11. 17 - 12n = 3n - 13
    17 + 13 = 3n + 12n
    30 = 15n
    n = 30 / 15
    n = 2
  12. 6x + 5 = 7x + 3
    6x - 7x = 3 - 5
    -x = -2
    x = 2
  13. 15 + 4y = y
    15 = y - 4y
    15 = -3y
    y = 15 / -3
    y = -5
  14. 24 - 15m = 15 - 14m
    -15m + 14m = 15 - 24
    -m = -9
    m = 9
  15. -10z + 75 = -5z
    75 = -5z + 10z
    75 = 5z
    z = 75 / 5
    z = 15
  16. 6n - 35 = n
    6n - n = 35
    5n = 35
    n = 35 / 5
    n = 7
  17. 18 - 12x = 25 - 13x
    -12x + 13x = 25 - 18
    x = 7
  18. -7m - 33 = 4m
    -33 = 4m + 7m
    -33 = 11m
    m = -33 / 11
    m = -3
  19. 15z + 14 = 14z - 9
    15z - 14z = -9 - 14
    z = -23
  20. 17 - 8y = 4y - 7
    17 + 7 = 4y + 8y
    24 = 12y
    y = 24 / 12
    y = 2
  21. 30 - 15z = 40 - 14z
    -15z + 14z = 40 - 30
    -z = 10
    z = -10
  22. 11m - 13 = 15 - 3m
    11m + 3m = 15 + 13
    14m = 28
    m = 28 / 14
    m = 2
  23. 28 = 7n - 7
    28 + 7 = 7n
    35 = 7n
    n = 35 / 7
    n = 5
  24. 8y - 15 = 7y - 12
    8y - 7y = -12 + 15
    y = 3
  25. -8x + 55 = -3x
    55 = -3x + 8x
    55 = 5x
    x = 55 / 5
    x = 11
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