TeX Quellcode:

\begin{array}{crclllcc} \text{I} & 6a-8b &=& 2 \cr \text{II} & -3a+12b &=& 1 & \vert \cdot 2 \cr \cr \text{I} & 6a-8b &=& 2 \cr \text{II} & -6a+24b &=& 2 \cr \cr \text{I} & 6a-8b &=& 2 \cr \text{I+II} & 16b &=& 4 & \Rightarrow b = \dfrac{1}{4} \cr \cr b=\frac{1}{4} \text{ in I} & 6a-8 \cdot \dfrac{1}{4} &=& 2 \cr & 6a -2 &=& 2 &\vert +2 \cr & 6a &=& 4 & \Rightarrow a = \dfrac{2}{3} \cr \cr & \mathbb{L} &=& \left\{\left(\dfrac{2}{3}; \dfrac{1}{4}\right)\right\} \end{array}