$\left \{ {{4x-3y=-10} \atop {\frac{x}{2}+\frac{5y}{4}=2}} \right.$
⇔ $\left \{ {{4x-3y=-10} \atop {2x+5y=8}} \right.$
⇔ $\left \{ {{4x-3y=-10} \atop {4x+10y=16}} \right.$
⇔ $\left \{ {{13y=26} \atop {4x-3y=-10}} \right.$
⇔ $\left \{ {{y=2} \atop {4x-3.2=-10}} \right.$
⇔ $\left \{ {{y=2} \atop {x=-1}} \right.$
Vậy hệ có nghiệm duy nhất $(x;y)=(-1;2)$