Odpowiedź:
[tex]b)\\\\\begin{cases}\frac{3}{2}x-y=\frac{1}{2}y-\frac{3}{2}x+2\ \ /\cdot2\\5x-(y-(x-2y))=4\end{cases}\\\\\\\begin{cases}3x-2y=y-3x+4\\5x-(y-x+2y)=4\end{cases}\\\\\\\begin{cases}3x-2y-y+3x=4\\5x-(3y-x)=4\end{cases}\\\\\\\begin{cases}6x-3y=4\\5x-3y+x=4\end{cases}\\\\\\\begin{cases}6x-3y=4\ \ /\cdot(-1)\\6x-3y=4\end{cases}\\\\\\+\begin{cases}-6x+3y=-4\\6x-3y=4\end{cases}\\---------\\0=0\\\\Uklad\ \ r\'owna\'n\ \ nieoznaczony\ \ ma\ \ niesko\'nczenie\ \ wiele\ \ rozwiaza\'n[/tex]
[tex]c)\\\\\begin{cases}0,01x-0,01(y-1)=-0,06\\0,03x-0,02(y-2)=-0,12\end{cases}\\\\\\\begin{cases}0,01x-0,01y+0,01=-0,06\\0,03x-0,02y+0,04=-0,12\end{cases}\\\\\\\begin{cases}0,01x-0,01y=-0,06-0,01\\0,03x-0,02y=-0,12-0,04\end{cases}\\\\\\\begin{cases}0,01x-0,01y=-0,07\ \ /\cdot100\\0,03x-0,02y=-0,16\ \ /\cdot100\end{cases}\\\\\\\begin{cases}x-y=-7\ \ /\cdot(-3)\\3x-2y=-16\end{cases}\\\\\\+\begin{cases}-3x+3y=21\\3x-2y=-16\end{cases}\\---------\\y=5\\\\\\x-5=-7\\\\x=-7+5\\\\x=-2[/tex]
[tex]\begin{cases}x=-2\\y=5\end{cases}\\\\\\d)\\\\\begin{cases}2x-3y=4-\frac{1}{3}y\ \ /\cdot3\\-x+5y=2x-2y+2\end{cases}\\\\\\\begin{cases}6x-9y=12-y\\-x+5y-2x+2y=2\end{cases}\\\\\\\begin{cases}6x-9y+y=12\\-3x+7y=2\end{cases}\\\\\\\begin{cases}6x-8y=12\ \ /:2\\-3x+7y=2\end{cases}\\\\\\+\begin{cases}3x-4y=6\\-3x+7y=2\end{cases}\\---------\\3y=8\ \ /:3\\\\y=\frac{8}{3}[/tex]
[tex]3x-4\cdot\frac{8}{3}=6\\\\3x-\frac{32}{3}=6\\\\3x=6+\frac{32}{3}\\\\3x=\frac{18}{3}+\frac{32}{3}\\\\3x=\frac{50}{3}\ \ /:3\\\\x=\frac{50}{3}\cdot\frac{1}{3}\\\\x=\frac{50}{9}\\\\\\\begin{cases}x=\frac{50}{9}\\y=\frac{8}{3}\end{cases}[/tex]
