$\left \{ {{2x-y=17} \atop {3x+2y=11}} \right.$
⇔$\left \{ {{y=2x-17} \atop {3x+2.(2x-17)=11}} \right.$
⇔$\left \{ {{y=2x-17} \atop {7x-34=11}} \right.$
⇔$\left \{ {{x= $\frac{45}{7}$ } \atop {y= 17- $\frac{2.45}{7}$ }} \right.$
⇔$\left \{ {{x= $\frac{45}{7}$ } \atop {y= $\frac{-29}{7}$ }} \right.$