Question

Решить систему уравнений методом подстановки :

Answer 1

$\left \{ {{\frac{1}{2}x-\frac{1}{3}y=1}|*6 \atop {6x-5y=3}} \right.\\\\\left \{ {{3x-2y=6} \atop {6x-5y=3}} \right.\\\\\left \{ {{2y=3x-6} \atop {6x-5y=3}} \right.\\\\\left \{ {{y=1,5x-3} \atop {6x-5(1,5x-3)=3}} \right.$

$\left \{ {{y=1,5x-3} \atop {6x-7,5x+15=3}} \right.\\\\\left \{ {{y=1,5x-3} \atop {-1,5x=-12}} \right.\\\\\left \{ {{x=8} \atop {y=1,5*8-3}} \right.\\\\\left \{ {{x=8} \atop {y=9}} \right.\\\\Otvet:\boxed{(8;9)}$