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【クラメールの公式(2×2)】
\begin{equation}
A\left(
\begin{array}{c}
x\\
y
\end{array}
\right)=
\left(
\begin{array}{cc}
a_{1} & b_{1}\\
a_{2} & b_{2}
\end{array}
\right)
\left(
\begin{array}{c}
x\\
y
\end{array}
\right)=
\left(
\begin{array}{c}
c_{1}\\
c_{2}
\end{array}
\right)
\end{equation}
\begin{equation}
x=\frac{1}{|A|}\left|
\begin{array}{cc}
c_{1} & b_{1}\\
c_{2} & b_{2}
\end{array}
\right|,~y=\frac{1}{|A|}
\left|
\begin{array}{c}
a_{1} & c_{1}\\
a_{2} & c_{2}
\end{array}
\right|
\end{equation}

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