Question

Алгебра 9 класс система уравнений
Подробно пожалуйста

${x}^{2} + 2xy = - 1 \\ 4xy + 9 {x}^{2} = 5$
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${x}^{3} {y}^{3} + {x}^{2} {y}^{4} = 12 \\ {x}^{4} {y}^{2} + {x}^{3} {y}^{3} = 24$
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Answer 1

1

$\begin{cases}x^2 + 2xy = -1\\4xy + 9x^2 = 5\end{cases}\\2xy = -1 - x^2\\4xy = -2 -2x^2\\-2 - 2x^2 + 9x^2 = 5\\7x^2 = 7\\x^2 = 1\\x = \pm 1\\\\(\pm 1)^2 \pm 2*1*y = -1\\\pm y = -1\\y = \mp 1\\\\(1; -1), (-1, 1)$