8 Реши уравнения с комментированием и сделай проверку: a) (200 + 20. a) : 6 = 60; 6) 320 : (b. 8 - 40) = 10; в) (п: 4–35) · 6 = 150; . г) 90 (m - 8) + 60 = 510.

Ответ: a) a = 8, b) b = 45, в) n = 100, г) m = 3

Решение:

1. (200 + 20 * a) : 6 = 60
2. 200 + 20 * a = 60 * 6
3. 200 + 20 * a = 360
4. 20 * a = 360 - 200
5. 20 * a = 160
6. a = 160 / 20
7. a = 8
8. Проверка: (200 + 20 * 8) : 6 = (200 + 160) : 6 = 360 : 6 = 60

1. 320 : (b * 8 - 40) = 10
2. b * 8 - 40 = 320 : 10
3. b * 8 - 40 = 32
4. b * 8 = 32 + 40
5. b * 8 = 72
6. b = 72 / 8
7. b = 9
8. Проверка: 320 : (9 * 8 - 40) = 320 : (72 - 40) = 320 : 32 = 10

1. (n : 4 - 35) * 6 = 150
2. n : 4 - 35 = 150 : 6
3. n : 4 - 35 = 25
4. n : 4 = 25 + 35
5. n : 4 = 60
6. n = 60 * 4
7. n = 240
8. Проверка: (240 : 4 - 35) * 6 = (60 - 35) * 6 = 25 * 6 = 150

1. 90 * (m - 8) + 60 = 510
2. 90 * (m - 8) = 510 - 60
3. 90 * (m - 8) = 450
4. m - 8 = 450 / 90
5. m - 8 = 5
6. m = 5 + 8
7. m = 13
8. Проверка: 90 * (13 - 8) + 60 = 90 * 5 + 60 = 450 + 60 = 510

Ответ: a) a = 8, b) b = 45, в) n = 100, г) m = 3