5.544 Решите уравнение: а) (z - 6) ⋅ 3/7 = 3; б) 1/4 y - 1/4 = 1/4.

а)

\[(z - 6) \cdot \frac{3}{7} = 3\]

\[z - 6 = 3 : \frac{3}{7}\]

\[z - 6 = 3 \cdot \frac{7}{3}\]

\[z - 6 = 7\]

\[z = 7 + 6\]

\[z = 13\]

б)

\[\frac{1}{4}y - \frac{1}{4} = \frac{1}{4}\]

\[\frac{1}{4}y = \frac{1}{4} + \frac{1}{4}\]

\[\frac{1}{4}y = \frac{2}{4}\]

\[y = \frac{2}{4} : \frac{1}{4}\]

\[y = \frac{2}{4} \cdot \frac{4}{1}\]

\[y = 2\]

Ответ: а) z = 13; б) y = 2