[tex]\displaystyle \left \{ {{x+y=3} \atop {2x-y=3}} \right. \\\\\left \{ {{y=3-x} \atop {2x-y=3}} \right. \\\\2x-(3-x)=3\\x=2\\y=3-2\\y=1\\(x,y)=(2,1)[/tex]
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[tex]\displaystyle \left \{ {{x+y=3} \atop {2x-y=3}} \right. \\\\\left \{ {{y=3-x} \atop {2x-y=3}} \right. \\\\2x-(3-x)=3\\x=2\\y=3-2\\y=1\\(x,y)=(2,1)[/tex]