[tex]c)\\\\\begin{cases}-2x+2y=y-2\\ 2(y-3x)=6-y \end{cases}\\\\\begin{cases}-2x+2y-y=-2\\ 2 y-6x =6-y \end{cases}\\\\\begin{cases}-2x+ y =-2\\ 2 y-6x+y =6 \end{cases}\\\\ \begin{cases}-2x+ y =-2\ \ |*(-3)\\ -6x+3y =6 \end{cases}\\\\ \begin{cases}6x-3 y =6\\ -6x+3y =6 \end{cases}\\+-------\\0=12\\\\uklad\ sprzeczny, brak\ rozwiazania[/tex]
[tex]d)\\\\\begin{cases} \frac{1}{2}x-y= \frac{2-x}{4}\ \ |*4 \\ x- \frac{x+y}{2} =1- \frac{2x-3y}{2} \ \ |*2 \end{cases} \\\\\begin{cases} 2x-2y=2-x \\ 2x- (x-y) =2- ( 2x-3y ) \end{cases} \\\\\begin{cases} 2x-2y=2-x \\ 2x-x+y =2- 2x+3y \end{cases} \\\\\begin{cases} 2x-2y+x=2 \\ 2x-x+y +2x-3y=2 \end{cases} \\\\\begin{cases} 3x-2y =2\ \ |*(-1) \\ 3x-2y=2 \end{cases}\[/tex]
[tex]\begin{cases} -3x+2y =-2 \\ 3x-2y=2 \end{cases}\\+---------\\0=0\\\\rownanie\ tozsamosciowe,\ nieskonczenie\ wiele\ rozwiazan[/tex]