2. Решите уравнение: 1) -7x = 63; 2) 0,6x = -5,4; 3) -1,4x = -9,8; 4) 1/7 x = -3/14; 5) -4/9 x = -1/7; 6) -2 1/4 x = -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. • \[ \frac{1}{7} x = -\frac{3}{14} \]
   • \[ x = -\frac{3}{14} \cdot 7 \]
   • \[ x = -\frac{3 \cdot 7}{14} = -\frac{21}{14} = -\frac{3}{2} = -1,5 \]
5. • \[ -\frac{4}{9} x = -\frac{1}{7} \]
   • \[ x = \frac{-1}{7} : \left(-\frac{4}{9}\right) \]
   • \[ x = \frac{1}{7} \cdot \frac{9}{4} = \frac{9}{28} \]
6. • \[ -2 \frac{1}{4} x = -\frac{9}{16} \]
   • \[ -\frac{9}{4} x = -\frac{9}{16} \]
   • \[ x = \frac{-9}{16} : \left(-\frac{9}{4}\right) \]
   • \[ x = \frac{9}{16} \cdot \frac{4}{9} = \frac{4}{16} = \frac{1}{4} \]

Ответ:

1. -9
2. -9
3. 7
4. \[ -1,5 \]
5. \[ \frac{9}{28} \]
6. \[ \frac{1}{4} \]