Question

 cho hệ phương trình sau tìm x,y

2x+5y=-(x+y) ₍₁₎

6x+3y=y-10   ₍₂₎

Answer 1

\(\left\{{}\begin{matrix}2x+5y=-\left(x+y\right)\left(1\right)\\6x+3y=y-10\left(2\right)\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}2x+5y=-x-y\\6x+2y=-10\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}3x+6y=0\\6x+2y=-10\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}3x+6y=0\\3x+y=-5\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}5y=5\\3x+y=-5\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x=-2y\\y=1\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x=-2\\y=1\end{matrix}\right.\)