2. (3 балла) Решите уравнение: а) \(\frac{1}{3}\)x = \(\frac{20}{9}\); б) \(\frac{21}{5}\) \(\cdot\) y = \(\frac{33}{10}\); в) 5x = \(\frac{7}{15}\)

Решим уравнения.

1. а) \(\frac{1}{3}\)x = \(\frac{20}{9}\)

   x = \(\frac{20}{9}\) : \(\frac{1}{3}\)

   x = \(\frac{20 \cdot 3}{9 \cdot 1}\)

   x = \(\frac{60}{9}\)

   x = \(\frac{20}{3}\)

   x = 6\(\frac{2}{3}\)

2. б) \(\frac{21}{5}\) \(\cdot\) y = \(\frac{33}{10}\)

   y = \(\frac{33}{10}\) : \(\frac{21}{5}\)

   y = \(\frac{33 \cdot 5}{10 \cdot 21}\)

   y = \(\frac{165}{210}\)

   y = \(\frac{11}{14}\)

3. в) 5x = \(\frac{7}{15}\)

   x = \(\frac{7}{15}\) : 5

   x = \(\frac{7}{15}\) : \(\frac{5}{1}\)

   x = \(\frac{7 \cdot 1}{15 \cdot 5}\)

   x = \(\frac{7}{75}\)

Ответ: а) 6\(\frac{2}{3}\); б) \(\frac{11}{14}\); в) \(\frac{7}{75}\)