[tex]g)\\\\ \frac{x-1 }{x+1} = \frac{2}{3}\\\\x+1\neq 0\\\\x\neq -1\\\\D=R\setminus\left\{-1 \right\}\\\\ mnozymy\ na\ krzyz\\\\\\3(x-1)=2(x+1)\\\\3x-3=2x+2\\\\3x-2x=2+3\\\\x=5[/tex]
[tex]i)\\\\\frac{2}{x-1} =\frac{7}{2x+1} \\\\x-1\neq 0\ \ i\ \ 2x+1\neq 0\\\\ x \neq 1\ \ i\ \ 2x \neq -1\ \ |:2\\\\ x\neq 1\ \ i\ \ x\neq -\frac{1}{2}\\\\D=R\setminus\left\{-\frac{1}{2},1 \right\}[/tex]
[tex]7(x-1)= 2(2x+1)\\\\7x-7=4x+2\\\\7x-4x=2+7\\\\3x=9\ \ |:3\\\\x=3[/tex]
[tex]f)\\\\\frac{13}{26}=\frac{1}{2x+1} \\\\2x+1\neq 0\\\\2x\neq -1\ \ |:2\\\\x\neq -\frac{1}{2}\\\\D=R\setminus\left\{-\frac{1}{2} \right\}[/tex]
[tex]13(2x+1)=26\\\\26x+13=26\\\\26x=26-13\\\\26x=13\ \ |:26\\\\x=\frac{13}{26}=\frac{1}{ 2}[/tex]
[tex]j)\\\\ \frac{3}{3x-4} =\frac{6}{2x+1} \\\\3x-4\neq 0\ \ i\ \ 2x+1\neq 0\\\\3x\neq 4\ \ |:3 \ \ i \ \ 2x\neq -1\ \ |:2\\\\x\neq \frac{4}{3}\ \ i\ \ x \neq -\frac{1}{2}\\\\D=R \setminus\left\{-\frac{1}{2},\frac{3}{4} \right\}[/tex]
[tex]6(3x-4) =3(2x+1)\\\\18x-24=6x+3\\\\18x-6x=3+24\\\\12x=27\ \ |:12\\\\x=\frac{27}{12}=\frac{9}{4}[/tex]
[tex]l)\\\\\frac{ 11}{x-2} =\frac{13}{ x+2}\\\\x-2\neq 0\ \ i\ \ x+2\neq 0\\\\x\neq 2\ \ i\ \ x\neq -2\\\\D=R \setminus \left\{-2,2 \right\}[/tex]
[tex]13(x -2) =11(x+2)\\\\13x-26=11x+22\\\\13x-11x=22+26\\\\2x= 48\ \ |:2\\\\x=24[/tex]
