Вопрос:

Реши уравнения: 1) 5x + 6x = 2211

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Ответ ассистента

Конечно, давай решим эти уравнения вместе! 1) $5x + 6x = 2211$ $$11x = 2211$$ $$x = \frac{2211}{11}$$ $$x = 201$$ 2) $(x - 30) : 2 = 380$ $$x - 30 = 380 \cdot 2$$ $$x - 30 = 760$$ $$x = 760 + 30$$ $$x = 790$$ 3) $12 \cdot (60 + x) = 9600$ $$60 + x = \frac{9600}{12}$$ $$60 + x = 800$$ $$x = 800 - 60$$ $$x = 740$$ 4) $123x - 212 = 403$ $$123x = 403 + 212$$ $$123x = 615$$ $$x = \frac{615}{123}$$ $$x = 5$$ 5) $87100 : (870 + x) = 100$ $$870 + x = \frac{87100}{100}$$ $$870 + x = 871$$ $$x = 871 - 870$$ $$x = 1$$ 6) $100 \cdot (1530 - x) = 53000$ $$1530 - x = \frac{53000}{100}$$ $$1530 - x = 530$$ $$-x = 530 - 1530$$ $$-x = -1000$$ $$x = 1000$$ 7) $378 + x : 7 = 589$ $$\frac{x}{7} = 589 - 378$$ $$\frac{x}{7} = 211$$ $$x = 211 \cdot 7$$ $$x = 1477$$ 8) $648 : (7x - 4) = 27$ $$7x - 4 = \frac{648}{27}$$ $$7x - 4 = 24$$ $$7x = 24 + 4$$ $$7x = 28$$ $$x = \frac{28}{7}$$ $$x = 4$$ 9) $1472 : (7 + 5x) = 46$ $$7 + 5x = \frac{1472}{46}$$ $$7 + 5x = 32$$ $$5x = 32 - 7$$ $$5x = 25$$ $$x = \frac{25}{5}$$ $$x = 5$$ 10) $(x + 413) : 26 = 103$ $$x + 413 = 103 \cdot 26$$ $$x + 413 = 2678$$ $$x = 2678 - 413$$ $$x = 2265$$ 11) $7,9 + 7x = 5x - 5,9$ $$7x - 5x = -5,9 - 7,9$$ $$2x = -13,8$$ $$x = \frac{-13,8}{2}$$ $$x = -6,9$$ 12) $3,7 + 5y = 7y + 13$ $$5y - 7y = 13 - 3,7$$ $$-2y = 9,3$$ $$y = \frac{9,3}{-2}$$ $$y = -4,65$$ 13) $4,7 \cdot (-4y - 3) - 3,5 \cdot (6 - 2y) = 0,3$ $$-18,8y - 14,1 - 21 + 7y = 0,3$$ $$-11,8y - 35,1 = 0,3$$ $$-11,8y = 35,4$$ $$y = \frac{35,4}{-11,8}$$ $$y = -3$$ 14) $3 \cdot (0,2x - 5) - 4 \cdot (0,3x - 5) = 10 + 0,4x$ $$0,6x - 15 - 1,2x + 20 = 10 + 0,4x$$ $$-0,6x + 5 = 10 + 0,4x$$ $$-0,6x - 0,4x = 10 - 5$$ $$-1x = 5$$ $$x = -5$$ 15) $12 - (x + 1\frac{3}{8}) = 10\frac{7}{24}$ $$12 - x - 1\frac{3}{8} = 10\frac{7}{24}$$ $$12 - x - \frac{11}{8} = \frac{247}{24}$$ $$-x = \frac{247}{24} - 12 + \frac{11}{8}$$ $$-x = \frac{247}{24} - \frac{288}{24} + \frac{33}{24}$$ $$-x = \frac{-8}{24}$$ $$-x = -\frac{1}{3}$$ $$x = \frac{1}{3}$$ 16) $(x - 1\frac{5}{7}) + 22\frac{4}{7} = 26$ $$x - \frac{12}{7} + \frac{158}{7} = 26$$ $$x + \frac{146}{7} = 26$$ $$x = 26 - \frac{146}{7}$$ $$x = \frac{182}{7} - \frac{146}{7}$$ $$x = \frac{36}{7}$$ $$x = 5\frac{1}{7}$

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