№1 Решите уравнение a) \(\frac{2}{7}\)x = 2\(\frac{2}{7}\); б) \(\frac{3}{5}\)y = 2\(\frac{9}{10}\) - \(\frac{1}{3}\); ж) m + \(\frac{3}{8}\)m = \(\frac{1}{4}\); з) y - \(\frac{2}{9}\)y = 4\(\frac{2}{8}\);

Решим уравнения.

а) \(\frac{2}{7}x = 2\frac{2}{7}\)

\(\frac{2}{7}x = \frac{16}{7}\)

x = \(\frac{16}{7} \cdot \frac{7}{2}\)

x = \(\frac{16 \cdot 7}{7 \cdot 2}\)

x = \(\frac{16}{2}\)

x = 8

Ответ: x = 8

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б) \(\frac{3}{5}y = 2\frac{9}{10} - \frac{1}{3}\)

\(\frac{3}{5}y = \frac{29}{10} - \frac{1}{3}\)

\(\frac{3}{5}y = \frac{29 \cdot 3}{10 \cdot 3} - \frac{1 \cdot 10}{3 \cdot 10}\)

\(\frac{3}{5}y = \frac{87}{30} - \frac{10}{30}\)

\(\frac{3}{5}y = \frac{77}{30}\)

y = \(\frac{77}{30} \cdot \frac{5}{3}\)

y = \(\frac{77 \cdot 5}{30 \cdot 3}\)

y = \(\frac{77 \cdot 1}{6 \cdot 3}\)

y = \(\frac{77}{18}\)

y = 4\(\frac{5}{18}\)

Ответ: y = 4\(\frac{5}{18}\)

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ж) m + \(\frac{3}{8}m = \frac{1}{4}\)

\(\frac{8}{8}m + \frac{3}{8}m = \frac{1}{4}\)

\(\frac{11}{8}m = \frac{1}{4}\)

m = \(\frac{1}{4} \cdot \frac{8}{11}\)

m = \(\frac{1 \cdot 8}{4 \cdot 11}\)

m = \(\frac{1 \cdot 2}{1 \cdot 11}\)

m = \(\frac{2}{11}\)

Ответ: m = \(\frac{2}{11}\)

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з) y - \(\frac{2}{9}y = 4\frac{2}{8}\)

\(\frac{9}{9}y - \(\frac{2}{9}y = 4\frac{1}{4}\)

\(\frac{7}{9}y = \frac{17}{4}\)

y = \(\frac{17}{4} \cdot \frac{9}{7}\)

y = \(\frac{17 \cdot 9}{4 \cdot 7}\)

y = \(\frac{153}{28}\)

y = 5\(\frac{13}{28}\)

Ответ: y = 5\(\frac{13}{28}\)