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kami5467
@kami5467
July 2022
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Решите систему уравнений
3/x-2/y=7
1/x+1/y=-1
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sangers1959
Verified answer
3/x-2/y=7
1/x+1/y=-1 ОДЗ: x≠0 y≠0
Пусть 1/x=t 1/y=v ⇒
3t-2v=7 3t-2v=7
t+v=-1 |×2 2t+2v=-2
Суммируем эти уравнения:
5t=5
t=1 ⇒ 1/x=1 x=1
1/1+1/y=-1
1+1/y=-1
1/y=-2
y=-1/2
Ответ: x=1 y=-1/2.
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Answers & Comments
Verified answer
3/x-2/y=71/x+1/y=-1 ОДЗ: x≠0 y≠0
Пусть 1/x=t 1/y=v ⇒
3t-2v=7 3t-2v=7
t+v=-1 |×2 2t+2v=-2
Суммируем эти уравнения:
5t=5
t=1 ⇒ 1/x=1 x=1
1/1+1/y=-1
1+1/y=-1
1/y=-2
y=-1/2
Ответ: x=1 y=-1/2.