$\left \{ {{2(x+1)+8y=1} \atop {9x-2y=8(x-y)}} \right.$
<=> $\left \{ {{2x + 8y = -1} \atop {x + 6y = 0}} \right.$
<=> $\left \{ {{2x + 8y = -1} \atop {2x = -12y}} \right.$
<=> $\left \{ {{-12y+ 8y = -1} \atop {2x = -12y}} \right.$
<=> $\left \{ {{y=\frac{1}{4}} \atop {2x = -12y}} \right.$
<=>$\left \{ {{y=\frac{1}{4}} \atop {x=-\frac{3}{2}}} \right.$