Question

Пж помогите решить систему уравнения

Answer 1

Ответ:

$(5;11)$

Объяснение:

$\left \{ {{\frac{x+y}{2}+\frac{x-y}{3}=6} \atop {\frac{x+y}{4}-\frac{x-t}{3}=6}} \right. \Rightarrow \left \{ {{3(x+y)+2(x-y)=36} \atop {3(x+y)-4(x-y)=72}} \right. \Rightarrow \left \{ {{3x+3y+2x-2y=36} \atop {3x+3y-4x+4y=72}} \right. \Rightarrow \left \{ {{5x+y=36} \atop {-x+7y=72}} \right. \Rightarrow \left \{ {{5x+y=36} \atop {-6x+6y=36}} \right. \Rightarrow \left \{ {{5x+y=36} \atop {-x+y=6}} \right. \Rightarrow \left \{ {{6x=30} \atop {-x+y=6}} \right. \Rightarrow$

$\left \{ {{x=5} \atop {-x+y=6}} \right. \Rightarrow \left \{ {{x=5} \atop {-5+y=6}} \right. \Rightarrow \left \{ {{x=5} \atop {y=11}} \right.$