Question

Помогите решить систему способом сложения, пожалуйста!

Answer 1

$\left \{ {{\bigg{\ (x + 3)(y + 5) = (x + 1)(y + 8) \ \ \ \ \ \ }} \atop {\bigg{\ (2x - 3)(5y + 7) = 2(5x - 6)(y + 1)}}} \right.$

$\left \{ {{\bigg{xy + 5x + 3y + 15 = xy + 8x + y + 8 \ \ \ \ \ \ \ \ \ \ \ \ \ \ }} \atop {\bigg{10xy + 14x - 15y - 21 = 10xy + 10x - 12y - 12}}} \right.$

$\left \{ {{\bigg {-3x + 2y = -7 \ \ \ \ \ | \ \cdotp 3}} \atop {\bigg{4x - 3y = 9 \ \ \ \ \ \ \ \ | \ \cdotp 2}}} \right.$

$\left \{ {{\bigg{-9x +6y = -21}} \atop {\bigg{8x - 6y = 18 \ \ \ }}} \right.$

$\left \{ {{\bigg{-x= -3 \Rightarrow x = 3 \ \ \ \ \ \ \ \ \ \ }} \atop {\bigg {-3 \ \cdotp 3 + 2y = -7 \Rightarrow y = 1}}} \right.$

Ответ: x = 3; y = 1