Question

Розвязати систему способом підстановки

Answer 1

$\left \{ {{\frac{x}{2}-\frac{y}{6} =1} \atop {\frac{x}{4}+\frac{y}{3}=3}} \right.\\\\\left \{ {{\frac{x}{2}*6-\frac{y}{6}*6 =1*6} \atop {\frac{x}{4}*12+\frac{y}{3}*12=3*12}} \right.\\\\\left \{ {{3x-y=6} \atop {3x+4y=36}} \right.\\\\\left \{ {{y=3x-6} \atop {3x+4(3x-6)=36}} \right.\\\\\left \{ {{y=3x-6} \atop {3x+12x-24=36}} \right.\\\\\left \{ {{y=3x-6} \atop {15x=60}} \right. \\\\\left \{ {{y=3x-6} \atop {x=4}} \right.\\\\\left \{ {{y=3*4-6} \atop {x=4}} \right.$

$\left \{ {{x=4} \atop {y=6}} \right.\\\\Otvet:\boxed{(4 \ ; \ 6)}$