[tex]Zad. 2\\\\a) \\\\\left \{ {{-\frac{x}2+\frac{y}3=2 /*6} \atop {\frac{x-2y}2+y=-1 /*6}} \right. \\+\left \{ {{-3x+2y=12} \atop {3x-6y+6y=-6}} \right. \\2y+0=12-6\\2y=6 /:2\\y=3\\-\frac{x}2+1=2 /-1\\-\frac{x}2=1 /*2\\-x=2\\x=-2[/tex]
[tex]b) \\\\\left \{ {{\frac{x+2y}2+\frac{3x-2y}5=1 /*10} \atop {\frac{2x-y}3-\frac{3x+2y}2=1 /*6}} \right. \\\left \{ {{5x+10y+6x-4y=10} \atop {4x-2y-(9x+6y)=6 }} \right. \\\left \{ {{11x+6y=10 /*4} \atop {-5x-8y=6 /*3}} \right. \\+\left \{ {{44x+24y=40} \atop {-15x-24y=18}} \right. \\44x-15x=40+18\\29x=58 /:29\\x=2\\11*2+6y=10\\22+6y=10 /-22\\6y=-12 /:6\\y=-2[/tex]
[tex]Zad. 3\\\\a) \\\\\left \{ {{2x-y=3 /*2} \atop {4x+2y=10}} \right. \\+\left \{ {{4x-2y=6} \atop {4x+2y=10}} \right. \\4x+4x=6+10\\8x=16 /:8\\x=2\\2*2-y=3\\4-y=3 /-4\\-y=-1\\y=1[/tex]
[tex]b) \\\\+\left \{ {{3x+y=4} \atop {x-y=2}} \right. \\3x+x=4+2\\4x=6 /:4\\x=\frac32\\\\3*\frac32+y=4\\\frac92+y=\frac82 /-\frac92\\y=-\frac12[/tex]
