Question

X+y=77
2/3x=4/5y
Решите пж очень нужно

Answer 1

х + у = 77

(2/3)х = (4/5)у

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х = 77 - у

2/3 · (77 - у) = (4/5)у

154/3 - (2/3)у = (4/5)у

154/3 = (2/3)у + (4/5)у

154/3 = (10/15)у + (12/15)у

154/3 = (22/15)у

у = 154/3 : 22/15

у = 154/3 · 15/22 = (7·5)/(1·1)

у = 35

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х = 77 - у

х = 77 - 35

х = 42

Ответ: (42; 35).

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Проверка:

2/3 · 42 = 4/5 · 35

2 · 14 = 4 · 7

28 = 28