Đáp án:
Giải thích các bước giải:
\(\begin{array}{l}
Hpt \to \left\{ \begin{array}{l}
\frac{3}{4}x - \frac{{16}}{5}y = 10\\
x\sqrt 3 - y\sqrt 2 = 4\sqrt 3
\end{array} \right. \to \left\{ \begin{array}{l}
x = \frac{{50 + 16y}}{5}:\frac{3}{4} = \frac{{200 + 64y}}{{15}}\\
\frac{{200 + 64y}}{{15}}.\sqrt 3 - y\sqrt 2 = 4\sqrt 3 \left( * \right)
\end{array} \right.\\
\left( * \right) \to 200\sqrt 3 + 64\sqrt 3 y - 15\sqrt 2 y = 60\sqrt 3 \\
\to \left( {64\sqrt 3 - 15\sqrt 2 } \right)y = 60\sqrt 3 - 200\sqrt 3 \\
\to y = \frac{{ - 140\sqrt 3 }}{{64\sqrt 3 - 15\sqrt 2 }} \to x = \frac{{200 + 64\left( {\frac{{ - 140\sqrt 3 }}{{64\sqrt 3 - 15\sqrt 2 }}} \right)}}{{15}} = \frac{{12800\sqrt 3 - 3000\sqrt 2 - 8960\sqrt 3 }}{{960\sqrt 3 - 225\sqrt 2 }} = \frac{{3840\sqrt 3 - 3000\sqrt 2 }}{{960\sqrt 3 - 225\sqrt 2 }}
\end{array}\)
