Вопрос:

ВАРИАНТ 3 Решите уравнение: 1) 6x = 28 - x; 2) 11x + 35 = 6x; 3) 9x + 7 = 3x + 37; 4) 9x - 7 = 5x + 29; 5) 7x-15 = 21 – 5x; 6) 5(x-6) = x + 2; 7)2-3(2 + 3x) = 14; 8)-11x = 7-3(5x-3) 9) 0,4x + 4,5 = 2,1 – 0,8x;

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Ответ:

Решение:

  1. 6x = 28 - x
    6x + x = 28
    7x = 28
    x = 4
  2. 11x + 35 = 6x
    11x - 6x = -35
    5x = -35
    x = -7
  3. 9x + 7 = 3x + 37
    9x - 3x = 37 - 7
    6x = 30
    x = 5
  4. 9x - 7 = 5x + 29
    9x - 5x = 29 + 7
    4x = 36
    x = 9
  5. 7x - 15 = 21 - 5x
    7x + 5x = 21 + 15
    12x = 36
    x = 3
  6. 5(x - 6) = x + 2
    5x - 30 = x + 2
    5x - x = 2 + 30
    4x = 32
    x = 8
  7. 2 - 3(2 + 3x) = 14
    2 - 6 - 9x = 14
    -4 - 9x = 14
    -9x = 14 + 4
    -9x = 18
    x = -2
  8. -11x = 7 - 3(5x - 3)
    -11x = 7 - 15x + 9
    -11x = 16 - 15x
    -11x + 15x = 16
    4x = 16
    x = 4
  9. 0,4x + 4,5 = 2,1 - 0,8x
    0,4x + 0,8x = 2,1 - 4,5
    1,2x = -2,4
    x = -2

Ответ: 1) x = 4; 2) x = -7; 3) x = 5; 4) x = 9; 5) x = 3; 6) x = 8; 7) x = -2; 8) x = 4; 9) x = -2.

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