Решите уравнение. 1) (х + 4/7) - 9/14 = 1/4; х

1) (х + 4/7) - 9/14 = 1/4;
х + 4/7 = 1/4 + 9/14;
х + 4/7 = 7/28 + 18/28;
х + 4/7 = 25/28;
х = 25/28 - 4/7;
х = 25/28 - 16/28;
х = 9/29.

2) (х - 17/36) + 9/40 = 13/30;
х - 17/36 = 13/30 - 9/40;
х - 17/36 = 5/24;
х = 5/24 + 17/36;
х = 15/72 + 34/72;
х = 49/72.

3) 2(3/4) - (х - 3(1/8)) = 1(1/6);
х - 3(1/8) = 2(3/4) - 1(1/6);
х - 3(1/8) = 2(9/12) - 1(2/12);
х - 3(1/8) = 1(7/12);
х = 1(7/12) + 3(1/8);
х = 1(14/24) + 3(3/24);
х = 4(17/24).

4) 7(5/9) - (3(4/27) - х) = 2(5/6);
3(4/27) - х = 7(5/9) - 2(5/6);
3(4/27) - х = 7(10/18) - 2(15/18);
3(4/27) - х = 4(13/18);
Нет корней.

Ответ: 1) х = 9/29. 2) х = 49/72. 3) х = 4(17/24). 4) нет корней.