Краткое пояснение: Решаем уравнения, выполняя действия в обратном порядке.
- Решим уравнение a):
- (180 : a + 15 ⋅ 3) : 8 = 6
- 180 : a + 45 = 6 ⋅ 8
- 180 : a + 45 = 48
- 180 : a = 48 - 45
- 180 : a = 3
- a = 180 : 3
- a = 60
- Решим уравнение б):
- 320 – (b ⋅ 4 + 120) : 5 = 240
- (b ⋅ 4 + 120) : 5 = 320 - 240
- (b ⋅ 4 + 120) : 5 = 80
- b ⋅ 4 + 120 = 80 ⋅ 5
- b ⋅ 4 + 120 = 400
- b ⋅ 4 = 400 - 120
- b ⋅ 4 = 280
- b = 280 : 4
- b = 70
- Решим уравнение в):
- 450 : (18 – y : 7) = 50
- 18 – y : 7 = 450 : 50
- 18 – y : 7 = 9
- y : 7 = 18 - 9
- y : 7 = 9
- y = 9 ⋅ 7
- y = 63
- Решим уравнение г):
- 5 ⋅ (810 : 9 – x ⋅ 3) = 315
- 810 : 9 – x ⋅ 3 = 315 : 5
- 90 – x ⋅ 3 = 63
- x ⋅ 3 = 90 - 63
- x ⋅ 3 = 27
- x = 27 : 3
- x = 9
Ответ: a = 60, b = 70, y = 63, x = 9