Odpowiedź:
[tex]\left \{ {{-2x+y=1} \atop {x+5y=5}} \right.[/tex]
[tex]\left \{ {{-2(5-5y)+y=1} \atop {x=5-5y}} \right.[/tex]
[tex]\left \{ {{-10+10y+y=1} \atop {x=5-5y}} \right.[/tex]
[tex]\left \{ {11y=11/:11} \atop {x=5-5y}} \right.[/tex]
[tex]\left \{ {{y=1} \atop {x=5-5*1}} \right.[/tex]
[tex]\left \{ {{y=1} \atop {x=0}} \right.[/tex]
(x,y)=(0,1)
[tex]\left \{ {{3x+y=12} \atop {-4x+2y=-6}} \right.[/tex]
[tex]\left \{ {{y=12-3x} \atop {-4x+2(12-3x)=-6}} \right.[/tex]
[tex]\left \{ {{y=12-3x} \atop {-4x+24-6x=-6}} \right.[/tex]
[tex]\left \{ {{y=12-3x} \atop {-10x=-6-24}} \right.[/tex]
[tex]\left \{ {{y=12-3x} \atop {-10x=-30/:-10}} \right.[/tex]
[tex]\left \{ {{y=12-3x} \atop {x=3}} \right.[/tex]
[tex]\left \{ {{y=12-3*3} \atop {x=3}} \right.[/tex]
[tex]\left \{ {{y=12-9} \atop {x=3}} \right.[/tex]
[tex]\left \{ {{y=3} \atop {x=3}} \right.[/tex]
(x,y)=(3,3)
Szczegółowe wyjaśnienie:
