Question

решите систему уравнений {y+3x=10 {5x-3y=12 метод сложения​

Answer 1

$\displaystyle\left \{ {{y+3x=10} \atop {5x-3y=12}} \right.\\\\\\\displaystyle\left \{ {{3x+y=10} \ |\cdot3 \atop {5x-3y=12}} \right. \\\\\\+\displaystyle\left \{ {{9x+3y=30} \atop {5x-3y=12}} \right. \\---------\\14x=42\\\\x=42:14\\\\x=3\\\\y=10-3x=10-3\cdot 3=10-9=1\\\\y=1\\\\Otvet:\boxed{(3 \ ; \ 1)}$