197. Решите уравнение: 1) -6x = 48; 2) 0,8x = -3,2; 3)-1,6x = -6,4; 4) 1/7 x = -3/14; 5)-4/9 x = -1/7; 6)-2 1/4 x = 9/16.

Решение:

1. \( -6x = 48 \)

\( x = \frac{48}{-6} \)
\( x = -8 \)

2. \( 0,8x = -3,2 \)

\( x = \frac{-3,2}{0,8} \)
\( x = -4 \)

3. \( -1,6x = -6,4 \)

\( x = \frac{-6,4}{-1,6} \)
\( x = 4 \)

4. \( \frac{1}{7}x = -\frac{3}{14} \)

\( x = -\frac{3}{14} \cdot 7 \)
\( x = -\frac{3}{2} \)
5. \( -\frac{4}{9}x = -\frac{1}{7} \)

\( x = -\frac{1}{7} \cdot \left(-\frac{9}{4}\right) \)
\( x = \frac{9}{28} \)

6. \( -2\frac{1}{4}x = \frac{9}{16} \)

\( -\frac{9}{4}x = \frac{9}{16} \)
\( x = \frac{9}{16} \cdot \left(-\frac{4}{9}\right) \)
\( x = -\frac{1}{4} \)

Ответ: 1) -8; 2) -4; 3) 4; 4) -3/2; 5) 9/28; 6) -1/4.