Solution: Solve the system: From $ x - y = 1 $, express $ x = y + 1 $. Substitute into the first equation: $ 3(y + 1) + 2y = 6 \Rightarrow 3y + 3 + 2y = 6 \Rightarrow 5y = 3 \Rightarrow y = \frac35 $. Then $ x = \frac35 + 1 = \frac85 $. \boxed\dfrac85