Вопрос:

3. Решите уравнение: 1) x + 10 = 4; 2) x + 2,8 = -8,6; 3) 5,2 - x = 14,7; 4) -5,4 - x = -3,5; 5) x - 4,7 = -2,34; 6) x + \(\frac{7}{16}\) = \(\frac{3}{8}\).

Ответ:

Решение:

  1. \(x + 10 = 4\)
    \(x = 4 - 10\)
    \(x = -6\)
  2. \(x + 2,8 = -8,6\)
    \(x = -8,6 - 2,8\)
    \(x = -11,4\)
  3. \(5,2 - x = 14,7\)
    \(-x = 14,7 - 5,2\)
    \(-x = 9,5\)
    \(x = -9,5\)
  4. \(-5,4 - x = -3,5\)
    \(-x = -3,5 + 5,4\)
    \(-x = 1,9\)
    \(x = -1,9\)
  5. \(x - 4,7 = -2,34\)
    \(x = -2,34 + 4,7\)
    \(x = 2,36\)
  6. \(x + \(\frac{7}{16}\) = \(\frac{3}{8}\)
    \(x = \(\frac{3}{8}\) - \(\frac{7}{16}\)
    \(x = \(\frac{3 \cdot 2}{8 \cdot 2}\) - \(\frac{7}{16}\)
    \(x = \(\frac{6}{16}\) - \(\frac{7}{16}\)
    \(x = -\(\frac{1}{16}\)\)

Ответ: 1) -6; 2) -11,4; 3) -9,5; 4) -1,9; 5) 2,36; 6) -\(\frac{1}{16}\).

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