Решите уравнение: 1) x=2/3x+1; 2) x-1/2=3/4x; 3) x-2/3=5/6x; 4) 1 (целая) 4/5y=y+4; 5) 2/3y-1/3=5/9y; 6) 3/4y-2/3=7/12y.

Найдем корни уравнений:

1) x = 2/3 * x + 1;

x - 2/3 * x = 1;

3/3 * x - 2/3 * x = 1;

x * (3/3 - 2/3) = 1;

x * 1/3 = 1;

x * 1 = 3 * 1;

x = 3;

2) x - 1/2 = 3/4 * x;

x - 3/4 * x = 1/2;

4/4 * x - 3/4 * x = 1/2;

1/4 * x = 1/2;

2 * x = 4;

x = 4/2;

x = 2;

3) x - 2/3 = 5/6 * x;

x - 5/6 * x = 2/3;

1/6 * x = 2/3;

3 * x = 6 * 2;

x = 12/3;

x = 4;

4) 1 4/5 * y = y + 4;

1 4/5 * y - y = 4;

4/5 * y = 4;

4 * y = 5 * 4;

y = 20/4;

y = 5;

5) 2/3 * y - 1/3 = 5/9 * y;

2/3 * y - 5/9 * y = 1/3;

6 * y/9 - 5/6 * y = 1/3;

1/9 * y = 1/3;

3 * y = 9;

y = 9/3;

y = 3;

6) 3/4 * y - 2/3 = 7/12 * y;

3/4 * y - 7/12 * y = 2/3;

9/12 * y - 7/12 * y = 2/3;

2/12 * y = 2/3;

1/6 * y = 2/3;

1/2 * y = 2;

y = 2 * 2;

y = 4.