Ответ:
(1 5/6х + 3 1/4) * 1 3/19 = 16,5;
1 5/6х + 3 1/4 = 16,5 : 1 3/19;
16,5 : 1 3/19 = 165/10 : (1 * 19 + 3)/19 = 165/10 : (19 + 3)/19 = 165/10 : 22/19 = 165/10 * 19/22 = (165 * 19)/(10 * 22) = (5 * 33 * 19)/(5 * 2 * 22) = (3 * 11 * 19)/(2 * 2 * 11) = 57/4 = 14 (57 - 14 * 4)/4 = 14 1/4;
1 5/6х + 3 1/4 = 14 1/4;
1 5/6х = 14 1/4 - 3 1/4;
1 5/6х = 14 - 3 + 1/4 - 1/4;
1 5/6х = 11;
х = 11 : 1 5/6;
х = 11 : (1 * 6 + 5)/6;
х = 11 : (6 + 5)/6;
х = 11 : 11/6;
х = 11 * 6/11;
х = (11 * 6)/11;
х = 6.
Ответ: х = 6.
Пошаговое объяснение: