Question 106
Find all pairs of real numbers $x$ and $y$ that solve the system of equations
$$
\begin{gathered}
\sqrt{x}-\sqrt{y}=1 \\
\sqrt{8x+7}-\sqrt{8y+7}=2
\end{gathered}
$$
$$
\begin{gathered}
\sqrt{x}-\sqrt{y}=1 \\
\sqrt{8x+7}-\sqrt{8y+7}=2
\end{gathered}
$$