Bună! ⚡
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[tex]a) 3*(1-1)+2*0=0+0=0\\\\-4*1+2(0+1)=-4+2=-2[/tex]
[tex]Perechea[/tex] [tex](1,0)[/tex] [tex]nu[/tex] [tex]este[/tex] [tex]solutie[/tex] [tex]a[/tex] [tex]sistemului.[/tex]
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[tex]b) \left \{ {{3(x-1)+2y=5} \atop {-4x+2(y+1)=-4}} \right. =>[/tex]
[tex]=> \left \{ {{3x-3+2y=5} \atop {-4x+2y+2=-4}} \right. =>[/tex]
[tex]=> \left \{ {{3x+2y=8} \atop {-4x+2y=-6 /*(-1)}} \right. =>[/tex]
[tex]=> \left \{ {{3x+2y=8} \atop {4x-2y=6}} \right.[/tex]
[tex]======(+)[/tex]
[tex]7x/=14 => x=2[/tex]
[tex]4x-2y=6 <=> 8-2y=6\\\\ <=> -2y=-2 => y=1[/tex]
[tex](x,y) =(2,1)[/tex]