Номер 574

Розв'яжіть рівняння:

1) (7x – 24) : 12 + 26 = 31;
(7x – 24) : 12 = 31 – 26;
(7x – 24) : 12 = 5;
7x – 24 = 5 · 12;
7x – 24 = 60;
7x = 60 + 24;
7x = 84;
x = 84 : 7;
x = 12;

2) (99 – 9y) · 8 + 14 = 86;
(99 – 9y) · 8 = 86 – 14;
(99 – 9y) · 8 = 72;
99 – 9y = 12 : 8;
99 – 9y = 9;
9y = 99 – 9;
9y = 90;
y = 90 : 9;
y = 10;

3) 144 – (x : 11 + 21) · 5 = 14;
(x : 11 + 21) · 5 = 144 – 14;
(x : 11+ 21) · 5 = 130;
x : 11 + 21 = 130 : 5;
x : 11 + 21 = 26;
x : 11 = 26 – 21;
x : 11 = 5;
x = 5 · 11;
x = 55;

4) (97 + 75 : (50 – 5x)) · 3 = 300;
97 + 75 : (50 – 5x) = 300 : 3;
97 + 75 : (50 – 5x) = 100;
75 : (50 – 5x) = 100 – 97;
75 : (50 – 5x) = 3;
50 – 5x = 75 : 3;
50 – 5x = 25;
5x = 50 – 25;
5x = 25;
x = 5;

5) 100 : (18 + (82 – 10x) : 6) = 5;
18 + (82 – 10x) : 6 = 100 : 5;
18 + (82 – 10x) : 6 = 20;
(82 – 10x) : 6 = 20 – 18;
(82 – 10x) : 6 = 2;
82 – 10x = 2 · 6;
82 – 10x = 12;
10x = 82 – 12;
10x = 70;
x = 70 : 10;
x = 7;

6) (105 – (25 + 6x) · 4) · 30 = 150;
105 – (25 + 6x) · 4 = 150 : 30;
105 – (25 + 6x) · 4 = 5;
(25 + 6x) · 4 = 105 – 5;
(25 + 6x) · 4 = 100;
25 + 6x = 100 : 4;
25 + 6x = 25;
6x = 25 – 25;
6x = 0;
x = 0.


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