a) \(\left\{{}\begin{matrix}2x+3y+2=0\\x-4y-10=0\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}2x+3y+2=0\\2x-8y-20=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x-4y-10=0\\11y+22=0\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}x=2\\y=-2\end{matrix}\right.\)
b) \(\left(1+\dfrac{x+\sqrt{x}}{\sqrt{x}+1}\right)\left(1-\dfrac{x-\sqrt{x}}{\sqrt{x}-1}\right)=-2\)
\(\Leftrightarrow\left(1+\dfrac{\sqrt{x}\left(\sqrt{x}+1\right)}{\sqrt{x}+1}\right)\left(1-\dfrac{\sqrt{x}\left(\sqrt{x}-1\right)}{\sqrt{x}-1}\right)=-2\)
\(\Leftrightarrow\left(1+\sqrt{x}\right)\left(1-\sqrt{x}\right)=-2\)
\(\Leftrightarrow1-x=-2\Leftrightarrow x=3\left(tm\right)\)
