Вопрос:

Вариант 3. 5. Решите уравнение: 1) \(\frac{7}{15}+x=\frac{12}{15}\); 2) \(\frac{20}{29}-\left(x-\frac{12}{29}\right)=\frac{5}{29}\); 3) \(\frac{29}{34}-\frac{x}{34}=\frac{12}{34}\).

Ответ:

  1. \(\frac{7}{15}+x=\frac{12}{15}\)
    \(x=\frac{12}{15}-\frac{7}{15}=\frac{5}{15}=\frac{1}{3}\).
  2. \(\frac{20}{29}-x+\frac{12}{29}=\frac{5}{29}\)
    \(\frac{32}{29}-x=\frac{5}{29}\)
    \(x=\frac{32}{29}-\frac{5}{29}=\frac{27}{29}\).
  3. \(\frac{29}{34}-\frac{x}{34}=\frac{12}{34}\)
    \(\frac{x}{34}=\frac{29}{34}-\frac{12}{34}=\frac{17}{34}\)
    \(x=17\).

Ответ: 1) \(x=\frac{1}{3}\); 2) \(x=\frac{27}{29}\); 3) \(x=17\).