Вопрос:

№6. Решите уравнение: 23 a)35-x=23-; 27 14 6)47-x=21-; 29 32 17 13 + =2- в) (x ) 35 35 35

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Ответ:

a) 35 - x = 23\(\frac{23}{27}\) x = 35 - 23\(\frac{23}{27}\) x = 12 - \(\frac{23}{27}\) x = 11\(\frac{27}{27}\) - \(\frac{23}{27}\) x = 11\(\frac{4}{27}\) б) 47 - x = 21\(\frac{14}{29}\) x = 47 - 21\(\frac{14}{29}\) x = 26 - \(\frac{14}{29}\) x = 25\(\frac{29}{29}\) - \(\frac{14}{29}\) x = 25\(\frac{15}{29}\) в) (x - \(\frac{32}{35}\)) + \(\frac{17}{35}\) = 2\(\frac{13}{35}\) x - \(\frac{32}{35}\) = 2\(\frac{13}{35}\) - \(\frac{17}{35}\) x - \(\frac{32}{35}\) = 2 - \(\frac{4}{35}\) x - \(\frac{32}{35}\) = 1\(\frac{31}{35}\) x = 1\(\frac{31}{35}\) + \(\frac{32}{35}\) x = 1 + \(\frac{31}{35} + \frac{32}{35}\) x = 1 + \(\frac{63}{35}\) x = 1 + 1\(\frac{28}{35}\) x = 2\(\frac{4}{5}\)

Ответ: a) x = 11\(\frac{4}{27}\); б) x = 25\(\frac{15}{29}\); в) x = 2\(\frac{4}{5}\)

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