Вопрос:

1145. Решите уравнение: 1) -6(x + 2) = 4x - 17; 2) (18x - 19) - (4 - 7x) = -73; 3) 10x + 3(7 - 2x) = 13 + 2 4) -3(4 - 5y) + 2(3 - 6y) =

Ответ:

Решение:

  1. \(-6(x + 2) = 4x - 17 \)
    \(-6x - 12 = 4x - 17 \)
    \(-6x - 4x = -17 + 12 \)
    \(-10x = -5 \)
    \(x = \frac{-5}{-10} \)
    \(x = 0,5 \)
  2. \((18x - 19) - (4 - 7x) = -73 \)
    \(18x - 19 - 4 + 7x = -73 \)
    \(25x - 23 = -73 \)
    \(25x = -73 + 23 \)
    \(25x = -50 \)
    \(x = \frac{-50}{25} \)
    \(x = -2 \)
  3. \(10x + 3(7 - 2x) = 13 + 2 \)
    \(10x + 21 - 6x = 15 \)
    \(4x + 21 = 15 \)
    \(4x = 15 - 21 \)
    \(4x = -6 \)
    \(x = \frac{-6}{4} \)
    \(x = -1,5 \)
  4. \(-3(4 - 5y) + 2(3 - 6y) = \)
    \(-12 + 15y + 6 - 12y = \)
    \(3y - 6 = \)

Ответ: 1) x = 0,5; 2) x = -2; 3) x = -1,5; 4) 3y - 6.

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