Решите уравнение 1) - (5 2/3 - 1.6 ) - x = 6 1/3

(5 2/3 - 1.6 ) - x = 6 1/3;

17/3 – 1 6/10 – х = 6 1/3;

17/3 – 16/10 – х = 19/3;

-х = 19/3 – 17/3 + 16/10;

-х = 2/3 + 16/10;

-х = (2 * 10)/(3 * 10) + (16 * 3)/(10 * 3);

-х = 20/30 + 48/30;

-х = 68/30;

Х = -2 8/30;

Х = - 2 4/15.

Проверка:

(5 2/3 - 1.6 ) – (-2 4/15) = 6 1/3;

17/3 – 1 6/10 + 2 4/15 = 6 1/3;

17/3 – 16/10 + 34/15 = 19/3;

(17 * 10)/(3 * 10) – (16 * 3)/(10 * 3) + (34 * 2)/(15 * 2) = 19/3;

170/30 – 48/30 + 68/30 = 19/3;

190/30 = 19/3;

19/3 = 19/3. Решение выполнено верно.