Вопрос:

Solve the equations from Variant 1.

Ответ:

Вариант 1

  1. \( 7 - 2x = 9 - 3x \)
    \( -2x + 3x = 9 - 7 \)
    \( x = 2 \)
  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. \( 5x - 3(4x - 1) = 7 - 2(7x - 3) \)
    \( 5x - 12x + 3 = 7 - 14x + 6 \)
    \( -7x + 3 = 13 - 14x \)
    \( -7x + 14x = 13 - 3 \)
    \( 7x = 10 \)
    \( x = \frac{10}{7} \)
  6. \( -5.6(x - 3) + 2.1x = -3.5x \)
    \( -5.6x + 16.8 + 2.1x = -3.5x \)
    \( -3.5x + 16.8 = -3.5x \)
    \( 16.8 = 0 \)

Ответ: 1. x = 2; 2. x = 1; 3. x = 2; 4. x = 4; 5. x = 10/7; 6. Решений нет.