\[\left\{ \begin{matrix} 3p - c = 2\ \ | \cdot 2 \\ 3p + 2c = 6\ \ \ \ \ \ \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ }\]
\[\left\{ \begin{matrix} 6p - 2c = 4\ \ (1) \\ 3p + 2c = 6\ \ (2) \\ \end{matrix} \right.\ \]
\[(1) + (2) \Longrightarrow 9p = 10\]
\[\left\{ \begin{matrix} 9p = 10\ \ \ \ \ \\ 3p - c = 2 \\ \end{matrix} \right.\ \text{\ \ \ \ \ \ \ \ }\]
\[\left\{ \begin{matrix} 9p = 10\ \ \ \ \ \\ c = 3p - 2 \\ \end{matrix} \right.\ \]