Розв’яжи рівняння:
Розв'язок:
1) $2\frac{7}{10}\left(5\frac{1}{6} - x\right) - 3\frac{2}{7} = 1\frac{3}{14}$
$\frac{27}{10} \cdot \left(\frac{31}{6} - x\right) - \frac{23}{7} = \frac{17}{14}$
$\frac{279}{20} - \frac{27}{10}x - \frac{23}{7} = \frac{17}{14}$
$\frac{1493}{140} - \frac{27}{10}x = \frac{17}{14}$
$1493 - 378x = 170$
$-378x = 170 - 1493$
$-378x = -1323$
$x = \frac{7}{2}$
$x = 3\frac{1}{2}$;
2) $9\frac{2}{15} - \left(3\frac{5}{14} + x\right) : 5\frac{5}{8} = 8\frac{1}{3}$
$\frac{137}{15} - \left(\frac{47}{14} + x\right) : \frac{45}{8} = \frac{25}{3}$
$\frac{137}{15} - \left(\frac{47}{14} + x\right) \cdot \frac{8}{45} = \frac{25}{3}$
$\frac{137}{15} - \left(\frac{188}{315} + \frac{8}{45}x\right) = \frac{25}{3}$
$\frac{137}{15} - \frac{188}{315} - \frac{8}{45}x = \frac{25}{3}$
$\frac{2689}{315} - \frac{8}{45}x = \frac{25}{3}$
$-56x = 2625 - 2689$
$-56x = -64$
$x = \frac{8}{7} = 1\frac{1}{7}$.