Вопрос:

II. Решите уравнение 1. 11(-5x+14) = -9(9x - 7) 2. -15(6x-12) = -3(-15x-6) 3. 10(8x + 9) = -2(15x-12) 4. 7(-5x + 5) = -3(-15x + 14) 5. 9(-3x-11) = -6(7x - 2) 6. -3(-11x-11) = 12(4x - 10) 7. -2(14x + 3) = 3(-10x - 7) 8. 4(12x + 14) = 4(12x + 14) = -2(-14x + 1). 9. -10(4x - 4) = 10(-14x - 2) 10. 7(-2x+10) = 11(-4x- 13) 11. 9(6x + 9) = -9(-11x-14) 12. -5(6x-14) = 5(-5x+1)

Смотреть решения всех заданий с листа

Ответ:

Решим уравнения:

  1. 11(-5x + 14) = -9(9x - 7)

    -55x + 154 = -81x + 63

    -55x + 81x = 63 - 154

    26x = -91

    $$x = \frac{-91}{26}$$

    $$x = -\frac{7}{2} = -3.5$$

    Ответ: -3.5

  2. -15(6x - 12) = -3(-15x - 6)

    -90x + 180 = 45x + 18

    -90x - 45x = 18 - 180

    -135x = -162

    $$x = \frac{-162}{-135}$$

    $$x = \frac{6}{5} = 1.2$$

    Ответ: 1.2

  3. 10(8x + 9) = -2(15x - 12)

    80x + 90 = -30x + 24

    80x + 30x = 24 - 90

    110x = -66

    $$x = \frac{-66}{110}$$

    $$x = -\frac{3}{5} = -0.6$$

    Ответ: -0.6

  4. 7(-5x + 5) = -3(-15x + 14)

    -35x + 35 = 45x - 42

    -35x - 45x = -42 - 35

    -80x = -77

    $$x = \frac{-77}{-80}$$

    $$x = \frac{77}{80} = 0.9625$$

    Ответ: 0.9625

  5. 9(-3x - 11) = -6(7x - 2)

    -27x - 99 = -42x + 12

    -27x + 42x = 12 + 99

    15x = 111

    $$x = \frac{111}{15}$$

    $$x = \frac{37}{5} = 7.4$$

    Ответ: 7.4

  6. -3(-11x - 11) = 12(4x - 10)

    33x + 33 = 48x - 120

    33x - 48x = -120 - 33

    -15x = -153

    $$x = \frac{-153}{-15}$$

    $$x = \frac{51}{5} = 10.2$$

    Ответ: 10.2

  7. -2(14x + 3) = 3(-10x - 7)

    -28x - 6 = -30x - 21

    -28x + 30x = -21 + 6

    2x = -15

    $$x = \frac{-15}{2} = -7.5$$

    Ответ: -7.5

  8. 4(12x + 14) = -2(-14x + 1)

    48x + 56 = 28x - 2

    48x - 28x = -2 - 56

    20x = -58

    $$x = \frac{-58}{20}$$

    $$x = -\frac{29}{10} = -2.9$$

    Ответ: -2.9

  9. -10(4x - 4) = 10(-14x - 2)

    -40x + 40 = -140x - 20

    -40x + 140x = -20 - 40

    100x = -60

    $$x = \frac{-60}{100}$$

    $$x = -\frac{3}{5} = -0.6$$

    Ответ: -0.6

  10. 7(-2x + 10) = 11(-4x - 13)

    -14x + 70 = -44x - 143

    -14x + 44x = -143 - 70

    30x = -213

    $$x = \frac{-213}{30}$$

    $$x = -\frac{71}{10} = -7.1$$

    Ответ: -7.1

  11. 9(6x + 9) = -9(-11x - 14)

    54x + 81 = 99x + 126

    54x - 99x = 126 - 81

    -45x = 45

    $$x = \frac{45}{-45} = -1$$

    Ответ: -1

  12. -5(6x - 14) = 5(-5x + 1)

    -30x + 70 = -25x + 5

    -30x + 25x = 5 - 70

    -5x = -65

    $$x = \frac{-65}{-5} = 13$$

    Ответ: 13

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