$\def\arraystretch{2} \begin{array}{rcll}(\text{I})&\dfrac 4x+\dfrac 8y&=&\dfrac53\\\\(\text{II})&\dfrac 2x-\dfrac 4y&=&-\dfrac16\end{array}$

wobei $x,y \neq 0$

$\def\arraystretch{1.25} \begin{array}{rrcl}(\text I)&\frac{7}{x}-\frac{12}{y}&=&\frac{5}{6}\\\left(\text{II}\right)&\frac{4}{y}+\frac{5}{2}&=&\frac{9}{x}\end{array}$

wobei $x,y \neq 0$

$\def\arraystretch{1.25} \begin{array}{l}(\text I)\;\;\frac{4}{3x+1}=\frac{2}{3y-13}\\(\text{II})\;\frac 2{5x-10}=\frac{4}{7y-6}\end{array}$

wobei $x\notin\left\{-\frac{1}{3};2\right\}$ und $y\notin\left\{\frac{13}{3};\frac{6}{7}\right\}$

$\def\arraystretch{1.25} \begin{array}{rrcl}(\text I)&\frac{3}{2x-1}-\frac{8}{3y+2}&=&-\frac{1}{5}\\\left(\text{II}\right)&\frac5{2x-1}+\frac4{3y+2}&=&\frac8{15}\end{array}$

wobei $x \neq \frac 12$ und $y \neq -\frac 23$