Question

giải hệ pt.Các bạn giúp mk với ạ

\(\left\{{}\begin{matrix}4x-|y+2|=3\\x+2|y+2|=3\end{matrix}\right.\)

Answer 1

\(\left\{{}\begin{matrix}4x-\left|y+2\right|=3\\x+2\left|y+2\right|=3\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}\left|y+2\right|=4x-3\\x+2\left(4x-3\right)=3\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}\left|y+2\right|=4x-3\\9x-6=3\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}\left|y+2\right|=4x-3\\x=1\end{matrix}\right.\)

\(\Rightarrow\left|y+2\right|=4.1-3=1\Leftrightarrow\left[{}\begin{matrix}y+2=1\\y+2=-1\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}y=1\\y=-3\end{matrix}\right.\)

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