Вопрос:

Решите уравнения: 2x - 13 = 11, 14x = 210, 2,5 - x = 1,2, 6x + 42 = 36, 6x + 5 = 19 - x, 4 - 3x = -11, 6(x + 2) = 12, -x = 15, -x/2 = 15/4, 5 + 2x = -2, -x + 4,8 = -0,8, 1 - 9x = 0, x = 7, x = -1, x = -45, x = -9.

Ответ:

Решение:

Решим каждое уравнение по порядку:

  1. \( 2x - 13 = 11 \)
    \( 2x = 11 + 13 \)
    \( 2x = 24 \)
    \( x = \frac{24}{2} \)
    \( x = 12 \)
  2. \( 14x = 210 \)
    \( x = \frac{210}{14} \)
    \( x = 15 \)
  3. \( 2,5 - x = 1,2 \)
    \( 2,5 - 1,2 = x \)
    \( x = 1,3 \)
  4. \( 6x + 42 = 36 \)
    \( 6x = 36 - 42 \)
    \( 6x = -6 \)
    \( x = \frac{-6}{6} \)
    \( x = -1 \)
  5. \( 6x + 5 = 19 - x \)
    \( 6x + x = 19 - 5 \)
    \( 7x = 14 \)
    \( x = \frac{14}{7} \)
    \( x = 2 \)
  6. \( 4 - 3x = -11 \)
    \( -3x = -11 - 4 \)
    \( -3x = -15 \)
    \( x = \frac{-15}{-3} \)
    \( x = 5 \)
  7. \( 6(x + 2) = 12 \)
    \( x + 2 = \frac{12}{6} \)
    \( x + 2 = 2 \)
    \( x = 2 - 2 \)
    \( x = 0 \)
  8. \( -x = 15 \)
    \( x = -15 \)
  9. \( \frac{-x}{2} = \frac{15}{4} \)
    \( -x = 2 \cdot \frac{15}{4} \)
    \( -x = \frac{15}{2} \)
    \( x = -\frac{15}{2} \)
    \( x = -7,5 \)
  10. \( 5 + 2x = -2 \)
    \( 2x = -2 - 5 \)
    \( 2x = -7 \)
    \( x = \frac{-7}{2} \)
    \( x = -3,5 \)
  11. \( -x + 4,8 = -0,8 \)
    \( -x = -0,8 - 4,8 \)
    \( -x = -5,6 \)
    \( x = 5,6 \)
  12. \( 1 - 9x = 0 \)
    \( 1 = 9x \)
    \( x = \frac{1}{9} \)
  13. \( x = 7 \)
  14. \( x = -1 \)
  15. \( x = -45 \)
  16. \( x = -9 \)

Ответ: x = 12, x = 15, x = 1,3, x = -1, x = 2, x = 5, x = 0, x = -15, x = -7,5, x = -3,5, x = 5,6, x = 1/9, x = 7, x = -1, x = -45, x = -9.

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