Đáp án:
\(\left[ \begin{array}{l}
x = 1\\
x = - 2
\end{array} \right. \to \left[ \begin{array}{l}
y = 2\\
y = - 7
\end{array} \right.\)
Giải thích các bước giải:
\(\begin{array}{l}
\left\{ \begin{array}{l}
3x - \left| y \right| = 1\\
5x + 3y = 11
\end{array} \right.\\
\to \left\{ \begin{array}{l}
\left| y \right| = 3x - 1\\
5x + 3y = 11
\end{array} \right.\\
\to \left\{ \begin{array}{l}
\left[ \begin{array}{l}
y = 3x - 1\\
y = - 3x + 1
\end{array} \right.\\
5x + 3y = 11
\end{array} \right.\\
\to \left[ \begin{array}{l}
y = 3x - 1\\
y = - 3x + 1
\end{array} \right.\\
\to \left[ \begin{array}{l}
5x + 3\left( {3x - 1} \right) = 11\\
5x + 3\left( { - 3x + 1} \right) = 11
\end{array} \right.\\
\to \left[ \begin{array}{l}
14x = 14\\
- 4x = 8
\end{array} \right.\\
\to \left[ \begin{array}{l}
x = 1\\
x = - 2
\end{array} \right.\\
\to \left[ \begin{array}{l}
y = 2\\
y = - 7
\end{array} \right.
\end{array}\)
