Вопрос:

Вариант 2: 1. 7x - 10 = -2x + 8 2. -3x + 3 = -17 + 2x 3. -x = 4 - 3(3x - 8) 4. 15 - 4(7 - x) = 11 5. 16 + 6n = 5(1 - 2n) - 13

Ответ:

Решение:

  1. \( 7x - 10 = -2x + 8 \)
    \( 7x + 2x = 8 + 10 \)
    \( 9x = 18 \)
    \( x = \frac{18}{9} \)
    \( x = 2 \)
  2. \( -3x + 3 = -17 + 2x \)
    \( -3x - 2x = -17 - 3 \)
    \( -5x = -20 \)
    \( x = \frac{-20}{-5} \)
    \( x = 4 \)
  3. \( -x = 4 - 3(3x - 8) \)
    \( -x = 4 - 9x + 24 \)
    \( -x = 28 - 9x \)
    \( -x + 9x = 28 \)
    \( 8x = 28 \)
    \( x = \frac{28}{8} \)
    \( x = 3.5 \)
  4. \( 15 - 4(7 - x) = 11 \)
    \( 15 - 28 + 4x = 11 \)
    \( -13 + 4x = 11 \)
    \( 4x = 11 + 13 \)
    \( 4x = 24 \)
    \( x = \frac{24}{4} \)
    \( x = 6 \)
  5. \( 16 + 6n = 5(1 - 2n) - 13 \)
    \( 16 + 6n = 5 - 10n - 13 \)
    \( 16 + 6n = -8 - 10n \)
    \( 6n + 10n = -8 - 16 \)
    \( 16n = -24 \)
    \( n = \frac{-24}{16} \)
    \( n = -1.5 \)

Ответ: 1. x = 2; 2. x = 4; 3. x = 3.5; 4. x = 6; 5. n = -1.5

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