2. Решите уравнение: 1) -7x = 63; 2) 0,6x = -5,4; 3) -1,4x = -9,8; 5) \(-\frac{4}{9}x = -1\frac{1}{7}\); 6) \(-2\frac{1}{4}x = \frac{9}{16}\).

Решение:

1. \( -7x = 63 \)
   \( x = \frac{63}{-7} \)
   \( x = -9 \)
2. \( 0,6x = -5,4 \)
   \( x = \frac{-5,4}{0,6} \)
   \( x = -9 \)
3. \( -1,4x = -9,8 \)
   \( x = \frac{-9,8}{-1,4} \)
   \( x = 7 \)
4. \(-\frac{4}{9}x = -1\frac{1}{7} \)
   \(-\frac{4}{9}x = -\frac{8}{7} \)
   \( x = -\frac{8}{7} \times \left(-\frac{9}{4}\right) \)
   \( x = \frac{8 \times 9}{7 \times 4} \)
   \( x = \frac{2 \times 9}{7} \)
   \( x = \frac{18}{7} = 2\frac{4}{7} \)
5. \(-2\frac{1}{4}x = \frac{9}{16} \)
   \(-\frac{9}{4}x = \frac{9}{16} \)
   \( x = \frac{9}{16} \times \left(-\frac{4}{9}\right) \)
   \( x = -\frac{9 \times 4}{16 \times 9} \)
   \( x = -\frac{4}{16} \)
   \( x = -\frac{1}{4} \)

Ответ: 1) -9; 2) -9; 3) 7; 5) \(2\frac{4}{7}\); 6) \(-\frac{1}{4}\).