Вопрос:

725. Найдите корень уравнения x + x/12 = -13/4.

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Ответ ассистента

725. $x + \frac{x}{12} = -\frac{13}{4} \Rightarrow \frac{13x}{12} = -\frac{13}{4} \Rightarrow x = -\frac{13}{4} \cdot \frac{12}{13} = -3$ 726. $\frac{x}{7} + \frac{x}{2} = \frac{18}{7} \Rightarrow \frac{2x+7x}{14} = \frac{18}{7} \Rightarrow \frac{9x}{14} = \frac{18}{7} \Rightarrow 9x = \frac{18 \cdot 14}{7} = 36 \Rightarrow x = 4$ 727. $\frac{x}{8} + \frac{x}{11} = -\frac{19}{11} \Rightarrow \frac{11x+8x}{88} = -\frac{19}{11} \Rightarrow \frac{19x}{88} = -\frac{19}{11} \Rightarrow x = -\frac{19}{11} \cdot \frac{88}{19} = -8$ 728. $\frac{x}{6} + \frac{x}{10} = \frac{16}{15} \Rightarrow \frac{5x+3x}{30} = \frac{16}{15} \Rightarrow \frac{8x}{30} = \frac{16}{15} \Rightarrow x = \frac{16}{15} \cdot \frac{30}{8} = 2 \cdot 2 = 4$ 729. $\frac{x}{5} + \frac{x}{9} = -\frac{14}{15} \Rightarrow \frac{9x+5x}{45} = -\frac{14}{15} \Rightarrow \frac{14x}{45} = -\frac{14}{15} \Rightarrow x = -\frac{14}{15} \cdot \frac{45}{14} = -3$ 730. $\frac{x}{8} + \frac{x}{6} = -\frac{7}{3} \Rightarrow \frac{3x+4x}{24} = -\frac{7}{3} \Rightarrow \frac{7x}{24} = -\frac{7}{3} \Rightarrow x = -\frac{7}{3} \cdot \frac{24}{7} = -8$ 731. $\frac{x}{6} + \frac{x}{12} + x = -\frac{35}{4} \Rightarrow \frac{2x+x+12x}{12} = -\frac{35}{4} \Rightarrow \frac{15x}{12} = -\frac{35}{4} \Rightarrow \frac{5x}{4} = -\frac{35}{4} \Rightarrow 5x = -35 \Rightarrow x = -7$ 732. $\frac{x}{2} + \frac{x}{6} + x = -\frac{5}{3} \Rightarrow \frac{3x+x+6x}{6} = -\frac{5}{3} \Rightarrow \frac{10x}{6} = -\frac{5}{3} \Rightarrow \frac{5x}{3} = -\frac{5}{3} \Rightarrow x = -1$ 733. $\frac{x}{5} + \frac{x}{3} + x = \frac{23}{5} \Rightarrow \frac{3x+5x+15x}{15} = \frac{23}{5} \Rightarrow \frac{23x}{15} = \frac{23}{5} \Rightarrow x = \frac{23}{5} \cdot \frac{15}{23} = 3$ 734. $\frac{x}{2} + \frac{x}{3} + x = \frac{44}{3} \Rightarrow \frac{3x+2x+6x}{6} = \frac{44}{3} \Rightarrow \frac{11x}{6} = \frac{44}{3} \Rightarrow x = \frac{44}{3} \cdot \frac{6}{11} = 4 \cdot 2 = 8$ 735. $\frac{x}{11} + \frac{x}{2} + x = \frac{35}{22} \Rightarrow \frac{2x+11x+22x}{22} = \frac{35}{22} \Rightarrow \frac{35x}{22} = \frac{35}{22} \Rightarrow x = 1$ 736. $6 - \frac{x}{2} = \frac{x}{3} \Rightarrow 6 = \frac{x}{3} + \frac{x}{2} \Rightarrow 6 = \frac{2x+3x}{6} \Rightarrow 6 = \frac{5x}{6} \Rightarrow 36 = 5x \Rightarrow x = 7,2$

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