Question

Розв'яжіть систему рівнянь ​

Answer 1

$\left\{\begin{array}{l}\dfrac{x+3}{2}-\dfrac{y-2}{3}=2\ \Big|\cdot 6\\\dfrac{x-1}{4}+\dfrac{y+1}{3}=4\ \Big|\cdot 12\end{array}\right\ \ \left\{\begin{array}{l}3(x+3)-2(y-2)=12\\3(x-1)+4(y+1)=48\end{array}\right\\\\\\\left\{\begin{array}{l}3x-2y=-1\ |\cdot 2\\3x+4y=47\end{array}\right\ \oplus \ \left\{\begin{array}{l}3x+1=2y\\9x=45\end{array}\right\ \ \left\{\begin{array}{l}2y=16\\x=5\end{array}\right\ \ \left\{\begin{array}{l}y=8\\x=5\end{array}\right\\\\\\Otvet:\ (\ 5\ ;\ 8\ )\ .$