$解:因为\begin{cases}{ 3a_1x+2b_1y=5c_1 } \\ { 3a_2x+2b_2y=5c_2 } \end{cases},$
$所以\begin{cases}{ \frac 35a_1x+\frac 25b_1y=c_1 } \\ { \frac 35a_2x+\frac 25b_2y=c_2 } \end{cases},$
$所以\begin{cases}{ \frac 35x=3 } \\ { \frac 25y=4 } \end{cases},$
$所以\begin{cases}{\ \text {x}=5 } \\ {\ \text {y}=10 } \end{cases}$