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