Đáp án:
\(\left\{ \begin{array}{l}
y = 2\\
\left[ \begin{array}{l}
x = 2\\
x = - 2
\end{array} \right.
\end{array} \right.\)
Giải thích các bước giải:
\(\begin{array}{l}
DK:y \ne 1\\
\left\{ \begin{array}{l}
{x^2} - \dfrac{1}{{y - 1}} = 3\\
2{x^2} - \dfrac{3}{{y - 1}} = 5
\end{array} \right.\\
\to \left\{ \begin{array}{l}
2{x^2} - \dfrac{2}{{y - 1}} = 6\\
2{x^2} - \dfrac{3}{{y - 1}} = 5
\end{array} \right.\\
\to \left\{ \begin{array}{l}
\dfrac{1}{{y - 1}} = 1\\
{x^2} = 3 + \dfrac{1}{{y - 1}}
\end{array} \right.\\
\to \left\{ \begin{array}{l}
y - 1 = 1\\
{x^2} = 4
\end{array} \right.\\
\to \left\{ \begin{array}{l}
y = 2\\
\left[ \begin{array}{l}
x = 2\\
x = - 2
\end{array} \right.
\end{array} \right.
\end{array}\)
