Контрольные задания > 1. 2 + 3x = -2x - 13 2. 1 – 7(4 + 2x) = -9 - 4x 3. – x – 2 + 3(4 – x) – 3 4. (– 5x + 3)(– x + 6) = 0 5. 5 + 2x = 3(2x – 5) – 8 6. 4(14 + 4x) – 3x = 6x 7. 2(1 – 4x) – 12 + 3x = 15 8. 4 = 7 – 6(5x – 1)
Вопрос:

1. 2 + 3x = -2x - 13 2. 1 – 7(4 + 2x) = -9 - 4x 3. – x – 2 + 3(4 – x) – 3 4. (– 5x + 3)(– x + 6) = 0 5. 5 + 2x = 3(2x – 5) – 8 6. 4(14 + 4x) – 3x = 6x 7. 2(1 – 4x) – 12 + 3x = 15 8. 4 = 7 – 6(5x – 1)

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Ответ:

Решим уравнения:

  1. $$2 + 3x = -2x - 13$$ $$3x + 2x = -13 - 2$$ $$5x = -15$$ $$x = -3$$ Ответ: x = -3
  2. $$1 - 7(4 + 2x) = -9 - 4x$$ $$1 - 28 - 14x = -9 - 4x$$ $$-14x + 4x = -9 + 28 - 1$$ $$-10x = 18$$ $$x = -1.8$$ Ответ: x = -1.8
  3. $$-x - 2 + 3(4 - x) - 3 = 0$$ $$-x - 2 + 12 - 3x - 3 = 0$$ $$-4x + 7 = 0$$ $$-4x = -7$$ $$x = 1.75$$ Ответ: x = 1.75
  4. $$(-5x + 3)(-x + 6) = 0$$ $$-5x + 3 = 0$$ или $$-x + 6 = 0$$ $$-5x = -3$$ или $$-x = -6$$ $$x = 0.6$$ или $$x = 6$$ Ответ: x = 0.6, x = 6
  5. $$5 + 2x = 3(2x - 5) - 8$$ $$5 + 2x = 6x - 15 - 8$$ $$2x - 6x = -23 - 5$$ $$-4x = -28$$ $$x = 7$$ Ответ: x = 7
  6. $$4(14 + 4x) - 3x = 6x$$ $$56 + 16x - 3x = 6x$$ $$13x - 6x = -56$$ $$7x = -56$$ $$x = -8$$ Ответ: x = -8
  7. $$2(1 - 4x) - 12 + 3x = 15$$ $$2 - 8x - 12 + 3x = 15$$ $$-5x - 10 = 15$$ $$-5x = 25$$ $$x = -5$$ Ответ: x = -5
  8. $$4 = 7 - 6(5x - 1)$$ $$4 = 7 - 30x + 6$$ $$4 = 13 - 30x$$ $$30x = 13 - 4$$ $$30x = 9$$ $$x = 0.3$$ Ответ: x = 0.3
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