[tex]Zad. 3\\\\I. \\\left \{ {{x-5y=-14 /*(-2)} \atop {2x+3y=-2}} \right. \\+\left \{ {{-2x+10y=28} \atop {2x+3y=-2}} \right. \\13y=26 /:13\\y=2\\x-5*2=-14\\x-10=-14 /+10\\x=-4\\\\II. \\\left \{ {{-x=y+2} \atop {0=2x-y-10}} \right. \\\left \{ {{-x-y=2 /*(-2)} \atop {-2x+y=-10}} \right. \\+\left \{ {{2x+2y=-4} \atop {-2x+y=-10}} \right. \\3y=-14 /:3\\y=-\frac{14}3 - \text{nie spelnia}[/tex]
[tex]III. \\\left \{ {{-3x+2y=16} \atop {x+4=y-2}} \right. \\\left \{ {{-3x+2y=16} \atop {x-y=-2-4 /*3}} \right. \\+\left \{ {{-3x+2y=16} \atop {3x-3y=-18}} \right. \\-y=16-18\\-y=-2\\y=2\\\\x-2=-6 /+2\\x=-4\\\\Odp. C[/tex]
[tex]Zad. 4\\\left \{ {{3(x+1)-(y-2)=9} \atop {2x+y=6}} \right. \\\left \{ {{3x+3-y+2=9} \atop {y=6-2x}} \right. \\\left \{ {{3x-y=9-3-2} \atop {y=6-2x}} \right. \\\left \{ {{3x-(6-2x)=4} \atop {y=6-2x}} \right. \\\left \{ {{3x-6+2x=4} \atop {y=6-2x}} \right. \\\left \{ {{5x=4+6} \atop {y=6-2x}} \right. \\\left \{ {{5x=10 /:5} \atop {y=6-2x}} \right. \\\left \{ {{x=2} \atop {y=6-2*2}} \right. \\\left \{ {{x=2} \atop {y=6-4}} \right. \\\left \{ {{x=2} \atop {y=2}} \right.[/tex]
[tex]\text{Sprawdzenie:}\\3(2+1)-(2-2)=9\\3*3-0=9\\9=9\\\\2*2+2=6\\4+2=6\\6=6[/tex]
