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gimnasiumm
@gimnasiumm
September 2021
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Система уравнений одна
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nelle987
Verified answer
Перепишем уравнения:
x/y * (x + y) = 1.5
y/x * (x + y) = 6
Делим второе на первое:
(y/x)^2 = 4
y = +- 2x
1) y = 2x
Подставляем во второе уравнение.
2x * (1 + 2) = 6
6x = 6
x = 1
y = 2 * 1 = 2
2) y = -2x
-2x * (1 - 2) = 6
2x = 6
x = 3
y = -6
Ответ. (1, 2), (3, -6).
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Answers & Comments
Verified answer
Перепишем уравнения:x/y * (x + y) = 1.5
y/x * (x + y) = 6
Делим второе на первое:
(y/x)^2 = 4
y = +- 2x
1) y = 2x
Подставляем во второе уравнение.
2x * (1 + 2) = 6
6x = 6
x = 1
y = 2 * 1 = 2
2) y = -2x
-2x * (1 - 2) = 6
2x = 6
x = 3
y = -6
Ответ. (1, 2), (3, -6).