Solve the System $\left\{ \begin{array} { l } 0.02 a = 0.02 - 0.03 b - 0.01 c \\4 a + 6 b + 2 c - 5 = 0 \\a + c = 3 + 2 b\end{array} \right.$

Essay

Solve the system. If a system is inconsistent or if the equations are dependent, so indicate. $\left\{ \begin{array} { l } 0.02 a = 0.02 - 0.03 b - 0.01 c \\4 a + 6 b + 2 c - 5 = 0 \\a + c = 3 + 2 b\end{array} \right.$