Question

СРОЧНО ДАЮ 40 БАЛЛОВ!!!

Розв'яжіть систему рівнянь:
{ (x + 3) (x + 5) - (5 + x)2 = 6(y - x) - 34
{(2 - y)2 - (6 - y) (6 + y) = 4x + 2y(y - 6)
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Answer 1

$\displaystyle\bf\\\left \{ {{(x + 3)(x + 5) - (5 + x) {}^{2} = 6(y - x) - 34} \atop {(2 - y) {}^{2} -( 6 - y)(6 + y) = 4x + 2y(y - 6)}} \right. \\\displaystyle\bf\\\left \{ {{ {x}^{2} + 5x + 3x + 15 - 25 - 10x - {x}^{2} = 6y - 6x - 34 } \atop {4 - 4y + {y}^{2} - 36 + {y}^{2} = 4x + 2 {y}^{2} - 12y }} \right. \\ \displaystyle\bf\\\left \{ {{ - 2x + 6x - 6y = - 34 + 10} \atop {2 {y}^{2} - 2 {y}^{2} - 4y + 12y - 4x = 32}} \right. \\ \displaystyle\bf\\ + \left \{ {{4x - 6y = - 24} \atop { - 4x + 8y = 32 }} \right. \\ \\ 8y - 6y = = 32 - 24 \\ 2y = 8 \\ y = 8 \div 2 \\ y = 4 \\ \\ 4x - 6 \times 4 = - 24 \\ 4x - 24 = - 24 \\ 4x = - 24 + 24 \\ 4x = 0 \\ x = 0$

Ответ: ( 0 ; 4 )