Solve for $x$ and $y$.

$$\begin{gathered} 27x+31y=85 \\ 31x+27y=89 \end{gathered}$$

Solve for $x$ and $y$.

$$\begin{gathered} 37x-39y=150 \\ 39x-37y=154 \end{gathered}$$

Solve for $x$ and $y$.

$$\begin{gathered} \frac{148}{x}+\frac{231}{y}=\frac{527}{xy} \\ \frac{231}{x}+\frac{148}{y}=\frac{610}{xy} \end{gathered}$$