решите систему способом сложения фото под записью.
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 \left \{ {{x+2y+6=3(3-x)} \atop {2(x-y)-4=-3y}} \right.

 \left \{ {{x+2y+6=9-3x} \atop {2x-2y-4=-3y}} \right.

 \left \{ {{x+2y+3x=9-6} \atop {2x-2y+3y=4}} \right.

 \left \{ {{4x+2y=3} \atop {2x+y=4}} \right.   

 \left \{ {{4x+2y=3} \atop {-4x-2y=-8}} \right.

 \left \{ {{4x+2y-4x-2y=3-8} \atop {2x+y=4}} \right.

 \left \{ {{0 \neq -5} \atop {2x+y=4}} \right.

Ответ:  система не имеет  решений 
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