TeX Quellcode:

\begin{array}{crcrcrcrl} \text{I} & 11a &-& 8b &+& c &=& 37 \cr \text{II} & -a &-& 2b &+& 7c &=& -35 \cr \text{III} & 12a &+& 9b &-& 6c &=& 12 \cr \cr \text{II} & -a &-& 2b &+& 7c &=& -35 \cr \text{I} & 11a &-& 8b &+& c &=& 37 \cr \text{III} & 12a &+& 9b &-& 6c &=& 12 \cr \cr \text{II} & -a &-& 2b &+& 7c &=& -35 \cr \text{11 II+I} & & & -30b &+& 78c &=& -348 \cr \text{12 II+III} & & & -15b &+& 78c &=& -408 \cr \cr \text{II} & -a &-& 2b &+& 7c &=& -35 \cr \text{I'} & & & -30b &+& 78c &=& -348\cr \text{I'-2 III'} & & & & & -78c &=& 468 & \Rightarrow c = -6 \cr \cr c = -6 \text{ in I'} & & & -30b &+& 78\cdot \left(-6\right) &=& -348 & \Rightarrow b = -4 \cr c = -6 \text{ und } b = -3 \text{ in II} & -a &-& 2\cdot \left(-4\right) &+& 7\cdot \left(-6\right) &=& -35 & \Rightarrow a = 1 \end{array}