[tex]\left \{ {{\frac{1}{2} x-3y=-12~~\mid \cdot 2} \atop {4x-\frac{1}{3} y=-25}} \right. \\\\\left \{ {{x-6y=-24} \atop {4x-\frac{1}{3} y=-25}} \right. \\\\\left \{ {{x=6y-24} \atop {4\cdot (6y-24)-\frac{1}{3} y=-25}} \right. \\\\\left \{ {{x=6y-24} \atop {24y-96-\frac{1}{3} y=-25}} \right. \\\\\left \{ {{x=6y-24} \atop {23\frac{2}{3} y=71}} \right. \\\\\left \{ {{x=6y-24} \atop {\frac{71}{3} y=71}~~\mid \div \frac{71}{3} } \right. \\\\\left \{ {{y=3} \atop {x=6\cdot 3 -24}} \right. \\\\[/tex]
[tex]\left \{ {{y=3} \atop {x=18-24}} \right. \\\\\left \{ {{y=3} \atop {x=-6}} \right. \\\\sprawdzam:\\\\\dfrac{1}{2} \cdot (-6)-3\cdot 3 = -12\\\\-3-9=-12\\\\-12=-12~~\Rightarrow~~L=P\\\\\\4\cdot (-6)- \dfrac{1}{3} \cdot 3 =-25\\\\-24-1=-25\\\\-25=-25 ~~\Rightarrow ~~L=P[/tex]
