Question

376. Решите уравнение и выполните проверку: a) (x + 15) - 8 = 17; 6) (24 + x) - 21 = 10; в) (45 - y) + 18 = 58; г) (у - 35) + 12 = 32; A) 56 - (x + 12) = 24; e) 55-(x-15) = 30. Пожалуйста ​

Answer 1

Ответ:

a) (x + 15) - 8 = 17:

x + 15 - 8 = 17,

x + 7 = 17,

x = 17 - 7,

x = 10.

Проверка:

(10 + 15) - 8 = 17,

25 - 8 = 17,

17 = 17 (верно).

6) (24 + x) - 21 = 10:

24 + x - 21 = 10,

x + 3 = 10,

x = 10 - 3,

x = 7.

Проверка:

(24 + 7) - 21 = 10,

31 - 21 = 10,

10 = 10 (верно).

в) (45 - y) + 18 = 58:

45 - y + 18 = 58,

-y + 63 = 58,

-y = 58 - 63,

-y = -5,

y = 5.

Проверка:

(45 - 5) + 18 = 58,

40 + 18 = 58,

58 = 58 (верно).

г) (у - 35) + 12 = 32:

у - 35 + 12 = 32,

у - 23 = 32,

у = 32 + 23,

у = 55.

Проверка:

(55 - 35) + 12 = 32,

20 + 12 = 32,

32 = 32 (верно).

A) 56 - (x + 12) = 24:

56 - (x + 12) = 24,

56 - x - 12 = 24,

56 - 12 - x = 24,

44 - x = 24,

-x = 24 - 44,

-x = -20,

x = 20.

Проверка:

56 - (20 + 12) = 24,

56 - 32 = 24,

24 = 24 (верно).

e) 55 - (x - 15) = 30:

55 - (x - 15) = 30,

55 - x + 15 = 30,

70 - x = 30,

-x = 30 - 70,

-x = -40,

x = 40.

Проверка:

55 - (40 - 15) = 30,

55 - (25) = 30,

55 - 25 = 30,

30 = 30 (верно).