\left \{ {{x-y=2} \atop {3x-2=9}} \right.
\left \{ {{x=2+y} \atop {3(2+y)=9+2}} \right.
\left \{ {{x=2+y} \atop {6+3y=11}} \right.
\left \{ {{x=2+y} \atop {3y=11-6}} \right.
\left \{ {{x=2+y} \atop {3y=5}} \right.
\left \{ {{x=2+y} \atop {y=\frac{5}{3}}} \right.
\left \{ {{x=2+y} \atop {y=1\frac{2}{3}}} \right.
\left \{ {{x=2+1\frac{2}{3}} \atop {y=1\frac{2}{3}}} \right.
\left \{ {{x=3\frac{2}{3}} \atop {y=1\frac{2}{3}}} \right.