TeX Quellcode:

\begin{array}{crcrcrcrl} \text{I} & -\dfrac{3}{2}a &+& \dfrac{1}{7}b &+& c &=& 6 \cr \cr \text{II} & \dfrac{5}{6}a &+& \dfrac{1}{3}b &-& \dfrac{1}{3}c &=& 2 \cr \cr \text{III} & & & -\dfrac{4}{3}b &-& \dfrac{5}{3}c &=& -3 \cr \cr \cr \text{14 I} & -21a &+& 2b &+& 14c &=& 84 \cr \text{6 II} & 5a &+& 2b &-& 2c &=& 12 \cr \text{3 III} & & & -4b &-& 5c &=& -9 \cr \cr \text{I} & -21a &+& 2b &+& 14c &=& 84 \cr \text{5 I+21 II} & & & 52b &+& 28c &=& 672 \cr \text{III} & & & -4b &-& 5c &=& -9 \cr \cr \text{I} & -21a &+& 2b &+& 14c &=& 84 \cr \text{II'} & & & 52b &+& 28c &=& 672 \cr \text{II'+13 III'} & & & & & -37c &=& 555 & \Rightarrow c = -15 \cr \cr c = -15 \text{ in II'} & & & 52b &+& 28 \cdot \left(-15\right) &=& 672 & \Rightarrow b = 21 \cr c = -15 \text{ und } b = 21 \text{ in I} & -21a &+& 2 \cdot 21 &+& 14 \cdot \left(-15\right) &=& 84 & \Rightarrow a = -12 \end{array}