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x+2y=6
multi por 2 la 1ª
x+6y=2 6y=2-x
multi por 3 la 2ª
3x+6y=18 6y=18-3x
igualamos
2-x=18-3x
3x-x=18-2
2x=16
x=16/2=8
la 1ª x/2+3y=1
8/2+3y=1
3y=1-4
y=-3/3=-1
x=8 y=-1