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MadelineByOne
@MadelineByOne
July 2022
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Решите системы уравнений:
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nafanya2014
Verified answer
1) Складываем уравнения:
2·5ˣ=50;
5ˣ=25
5ˣ=5²
х=2
5^y=30-5^x
5^y=30-25
5^y=5
y=1
О т в е т. (2;1)
2) Решаем способом подстановки
х=1+у
2^(1+y)+2^y=12
2·2^y+2^y=12
3·2^y=12
2^y=4
y=2
x=1+y=1+2=3
О т в е т.(3;2).
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Answers & Comments
Verified answer
1) Складываем уравнения:2·5ˣ=50;
5ˣ=25
5ˣ=5²
х=2
5^y=30-5^x
5^y=30-25
5^y=5
y=1
О т в е т. (2;1)
2) Решаем способом подстановки
х=1+у
2^(1+y)+2^y=12
2·2^y+2^y=12
3·2^y=12
2^y=4
y=2
x=1+y=1+2=3
О т в е т.(3;2).