Реши уравнения с комментированием и сделай проверку: a) 35:y+6= 11; б) 50-9a = 23; в) (4 + x): 8 = 9; г) (т: 5+3). 6 = 48; д) (9-14) : 4 = 10; е) 56: (36:k-2) = 8.

Решение:

1. а) 35 : y + 6 = 11
• 35 : y = 11 - 6
• 35 : y = 5
• y = 35 : 5
• y = 7
• Проверка: 35 : 7 + 6 = 5 + 6 = 11
2. б) 50 - 9a = 23
• -9a = 23 - 50
• -9a = -27
• a = -27 : (-9)
• a = 3
• Проверка: 50 - 9 ⋅ 3 = 50 - 27 = 23
3. в) (4 + x) : 8 = 9
• 4 + x = 9 ⋅ 8
• 4 + x = 72
• x = 72 - 4
• x = 68
• Проверка: (4 + 68) : 8 = 72 : 8 = 9
4. г) (m : 5 + 3) ⋅ 6 = 48
• (m : 5 + 3) = 48 : 6
• m : 5 + 3 = 8
• m : 5 = 8 - 3
• m : 5 = 5
• m = 5 ⋅ 5
• m = 25
• Проверка: (25 : 5 + 3) ⋅ 6 = (5 + 3) ⋅ 6 = 8 ⋅ 6 = 48
5. д) (9 ⋅ t - 14) : 4 = 10
• 9 ⋅ t - 14 = 10 ⋅ 4
• 9 ⋅ t - 14 = 40
• 9 ⋅ t = 40 + 14
• 9 ⋅ t = 54
• t = 54 : 9
• t = 6
• Проверка: (9 ⋅ 6 - 14) : 4 = (54 - 14) : 4 = 40 : 4 = 10
6. е) 56 : (36 : k - 2) = 8
• 36 : k - 2 = 56 : 8
• 36 : k - 2 = 7
• 36 : k = 7 + 2
• 36 : k = 9
• k = 36 : 9
• k = 4
• Проверка: 56 : (36 : 4 - 2) = 56 : (9 - 2) = 56 : 7 = 8

Ответ: а) y = 7, б) a = 3, в) x = 68, г) m = 25, д) t = 6, е) k = 4