Question

найдите решение системы. Пожалуйста)​

Answer 1

$\left \{\begin {array}{l}(7+u)^{2}-(5+u)^{2}=6v} \\{(2-v)^{2}-(6-v)^{2}=4u}} \end{array}\right. \\\\\\\left \{\begin {array}{l}(7+u-5-u)(7+u+5+u)=6v} \\{(2-v-6+v)(2-v+6-v)=4u}} \end{array}\right.\\\\\\\left \{\begin {array}{l}2\cdot (12+2u)=6v} \\{-4\cdot (8-2v)=4u}} \end{array}\right.\\\\\\\left \{\begin {array}{l}12+2u=3v} \\{8-2v=-u}} \end{array}\right.\\\\\\\left \{\begin {array}{l}2u-3v=-12} \\{u-2v=-8}|\cdot(-2)} \end{array}\right.$

$+\left \{\begin {array}{l}2u-3v=-12} \\{-2u+4v=16}} \end{array}\right.\\----------\\v=4\\\\u=2v-8=2\cdot 4-8=0\\\\Otvet:\boxed{(0 \ ; \ 4)}$