Вопрос:

Задание 4. Решите уравнения: 1. 4x + 3 = 9x - 7 2. 6 - 3x = 5x + 14 3. 8x - 5 = 2x + 13 4. 7x + 4 = 3x - 8 5. 9 - 4x = 6x - 11 6. 5x - 7 = 12x + 14 7. 11x + 6 = 4x - 15 8. 3 - 8x = 2x + 23 9. 10x - 3 = 7x + 12 10. 8x + 5 = 13x - 10

Ответ:

Задание 4

  1. \( 4x + 3 = 9x - 7 \)
    \( 9x - 4x = 3 + 7 \)
    \( 5x = 10 \)
    \( x = 2 \)
  2. \( 6 - 3x = 5x + 14 \)
    \( 5x + 3x = 6 - 14 \)
    \( 8x = -8 \)
    \( x = -1 \)
  3. \( 8x - 5 = 2x + 13 \)
    \( 8x - 2x = 13 + 5 \)
    \( 6x = 18 \)
    \( x = 3 \)
  4. \( 7x + 4 = 3x - 8 \)
    \( 7x - 3x = -8 - 4 \)
    \( 4x = -12 \)
    \( x = -3 \)
  5. \( 9 - 4x = 6x - 11 \)
    \( 6x + 4x = 9 + 11 \)
    \( 10x = 20 \)
    \( x = 2 \)
  6. \( 5x - 7 = 12x + 14 \)
    \( 12x - 5x = -7 - 14 \)
    \( 7x = -21 \)
    \( x = -3 \)
  7. \( 11x + 6 = 4x - 15 \)
    \( 11x - 4x = -15 - 6 \)
    \( 7x = -21 \)
    \( x = -3 \)
  8. \( 3 - 8x = 2x + 23 \)
    \( 2x + 8x = 3 - 23 \)
    \( 10x = -20 \)
    \( x = -2 \)
  9. \( 10x - 3 = 7x + 12 \)
    \( 10x - 7x = 12 + 3 \)
    \( 3x = 15 \)
    \( x = 5 \)
  10. \( 8x + 5 = 13x - 10 \)
    \( 13x - 8x = 5 + 10 \)
    \( 5x = 15 \)
    \( x = 3 \)

Ответ: 1. x = 2; 2. x = -1; 3. x = 3; 4. x = -3; 5. x = 2; 6. x = -3; 7. x = -3; 8. x = -2; 9. x = 5; 10. x = 3.

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