Решить систему уравнений См. скрин

Решите задачу:

$\left \{ {{log_2(x+y)=2} \atop {log_{\sqrt3}x+log_{\sqrt3}y=2}} \right. \; \; \to \; \; ODZ:\; \left \{ {{x\ \textgreater \ 0\; ,\; y\ \textgreater \ 0} \atop {x+y\ \textgreater \ 0}} \right. \\\\\left \{ {{x+y=2^2} \atop {log_{\sqrt3}(xy)=2}} \right. \; \left \{ {{x+y=4} \atop {xy=3}} \right. \; \left \{ {{y=4-x} \atop {x(4-x)=3}} \right. \; \left \{ {{y=4-x} \atop {x^2-4x+3=0}} \right. \\\\ \left \{ {{y_1=3,\; y_2=1} \atop {x_1=1\; ,\; x_2=3}} \right. \\\\Otvet:\; \; (1,3)\; ,\; (3,1)\; .$