Помогите решить систему с дробями:

3 х-1/4=4 у-1/3,

5 х=8 у+3

3 х - 1/4 = 4y - 1/3

5x = 8y + 3

Решение

3 х - 4y = 1/4 - 1/3

3x - 4y = 3/12 - 4/12

3x - 4y = - 1/12

12 (3x - 4y) = - 1

36x - 48y = - 1

48y = 36x + 1

8y = 5x - 3

48y = 30x - 18

36x + 1 = 30x - 18

6x = - 19

X = - 19/6 = - 3 (1/6)

8y = 5• (- 19/6) - 3 = - (95/6) - 3 = - 15 (5/6) - 3 = - 18 (5/6)

y = - 18 (5/6) : 8 = - (113/6) : 8 = - 113/48 = - 2 (17/48)

Ответ (- 3 (1/6) ; - 2 (17/48))