Пошаговое объяснение:
1)x=(2/3)x + 1
x - (2/3)x = 1
(1/3)x = 1
x = 1 : 1/3
x = 3
2) x - 1/2 = (3/4)x
x - (3/4)x = 1/2
(1/4)x = 1/2
x = 1/2 : 1/4
x = 1/2 * 4/1
x = 2
3) x - 2/3 = (5/6)x
x - (5/6)x = 2/3
(1/6)x = 2/3
x = 2/3 : 1/6
x = 2/3 * 6/1
x = 4
4) (1 4/5)y = y + 4.
(1 4/5)y - y = 4
(4/5)y = 4
y = 4 : 4/5
y = 4 * 5/4
y = 5
5) (2/3)y - 1/3 = 5/9y
(2/3)y - (5/9)y = 1/3
(6/9)y - (5/9)y = 1/3
(1/9)y = 1/3
y = 1/3 : 1/9
y = 1/3 * 9/1
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
(1/6)y = 2/3
y = 2/3 : 1/6
y = 2/3 * 6/1
y = 4
Пошаговое объяснение:
1)x=(2/3)x + 1
x - (2/3)x = 1
(1/3)x = 1
x = 1 : 1/3
x = 3
2) x - 1/2 = (3/4)x
x - (3/4)x = 1/2
(1/4)x = 1/2
x = 1/2 : 1/4
x = 1/2 * 4/1
x = 2
3) x - 2/3 = (5/6)x
x - (5/6)x = 2/3
(1/6)x = 2/3
x = 2/3 : 1/6
x = 2/3 * 6/1
x = 4
4) (1 4/5)y = y + 4.
(1 4/5)y - y = 4
(4/5)y = 4
y = 4 : 4/5
y = 4 * 5/4
y = 5
5) (2/3)y - 1/3 = 5/9y
(2/3)y - (5/9)y = 1/3
(6/9)y - (5/9)y = 1/3
(1/9)y = 1/3
y = 1/3 : 1/9
y = 1/3 * 9/1
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
(1/6)y = 2/3
y = 2/3 : 1/6
y = 2/3 * 6/1
y = 4