[latex]egin{cases} frac{1}{2}x+ frac{1}{3}y=1 / cdot 6 \ 2x+3y=-1end{cases}[/latex] [latex]egin{cases}3x+2y=6 / cdot (-2) \ 2x+3y=-1 / cdot 3end{cases}[/latex] [latex]egin{cases}-6x-4y=-12 \ 6x+9y=-3end{cases}[/latex] +__________ [latex]5y=-15 /:5[/latex] [latex]y=-3[/latex] [latex]egin{cases}\ 3x+2y=6\y=-3end{cases}[/latex] [latex]egin{cases}\ 3x+2 cdot (-3)=6\y=-3end{cases}[/latex] [latex]egin{cases}\ 3x-6=6\y=-3end{cases}[/latex] [latex]egin{cases}\ 3x=6+6\y=-3end{cases}[/latex] [latex]egin{cases}\ 3x=12 /:3\y=-3end{cases}[/latex] [latex]egin{cases}\ x=4\y=-3end{cases}[/latex] sprawdzenie: [latex]egin{cases} frac{1}{2}x+ frac{1}{3}y=1 / cdot 6 \ 2x+3y=-1end{cases}[/latex] [latex]egin{cases} frac{1}{2} cdot 4+ frac{1}{3} cdot (-3)=1\ 2 cdot 4+3 cdot (-3)=-1end{cases}[/latex] [latex]egin{cases} 2-1=1 \ 8-9=-1end{cases}[/latex] [latex]egin{cases} 1=1 \ -1=-1end{cases}[/latex] [latex]egin{cases} L=P \ L=Pend{cases}[/latex]
