Вопрос:

ВАРИАНТ 1 1. 7-2x = 9-3x 2. 11x = 6+5(2x-1) 3. 6(2x-3) - 3x = 2x - 4 4. 4(3x + 5) - 5(4x - 3) = 3 5. 5x-3(4x - 1) = 7-2(7x + 2) 6. -5,6(x-3) + 2,lx = -3,5x + 10

Ответ:

Решение:

  1. \(7 - 2x = 9 - 3x\)
    \(3x - 2x = 9 - 7\)
    \(x = 2\)
  2. \(11x = 6 + 5(2x - 1)\)
    \(11x = 6 + 10x - 5\)
    \(11x - 10x = 1\)
    \(x = 1\)
  3. \(6(2x - 3) - 3x = 2x - 4\)
    \(12x - 18 - 3x = 2x - 4\)
    \(9x - 18 = 2x - 4\)
    \(9x - 2x = 18 - 4\)
    \(7x = 14\)
    \(x = 2\)
  4. \(4(3x + 5) - 5(4x - 3) = 3\)
    \(12x + 20 - 20x + 15 = 3\)
    \(-8x + 35 = 3\)
    \(-8x = 3 - 35\)
    \(-8x = -32\)
    \(x = 4\)
  5. \(5x - 3(4x - 1) = 7 - 2(7x + 2)\)
    \(5x - 12x + 3 = 7 - 14x - 4\)
    \(-7x + 3 = 3 - 14x\)
    \(-7x + 14x = 3 - 3\)
    \(7x = 0\)
    \(x = 0\)
  6. \(-5,6(x - 3) + 2,1x = -3,5x + 10\)
    \(-5,6x + 16,8 + 2,1x = -3,5x + 10\)
    \(-3,5x + 16,8 = -3,5x + 10\)
    \(16,8 = 10\)
    Это неверно, решений нет.

Ответ: 1. x=2; 2. x=1; 3. x=2; 4. x=4; 5. x=0; 6. Решений нет.

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