Нужно срочно решить!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Решите задачу:

$\left \{ {{x+y=10,1} \atop {lgx-lgy=2=2}} \right. \; \left \{ {{x+y=10,1} \atop {lg\frac{x}{y}=lg10^2}} \; \left \{ {{x+y=10,1} \atop {\frac{x}{y}=100}} \right. \right. \; \left \{ {{100y+y=10,1} \atop {x=100y}} \right. \\\\ \left \{ {{101y=10,1} \atop {x=100y}} \right. \; \left \{ {{y=0,1} \atop {x=10}} \right.$