a) Решим уравнение \(x - 2\frac{8}{15} = 3\frac{7}{12}\):
\(x = 3\frac{7}{12} + 2\frac{8}{15}\)
\(x = 3\frac{35}{60} + 2\frac{32}{60}\)
\(x = 5\frac{67}{60}\)
\(x = 6\frac{7}{60}\)
б) Решим уравнение \(3,45 \cdot (2,08 - k) = 6,21\):
\(2,08 - k = \frac{6,21}{3,45}\)
\(2,08 - k = 1,8\)
\(k = 2,08 - 1,8\)
\(k = 0,28\)
Ответ: a) \(x = 6\frac{7}{60}\); б) \(k = 0,28\).