TeX Quellcode:

\begin{array}{crcrcrcrl} \text{I} & x &+& y &+& 4z &=& -3 \cr \text{II} & -3x &+& 9y &-& z &=& -13 \cr \text{III} & 6x &-& 2y &+& 10z &=& 10 \cr \cr \text{I} & x &+& y &+& 4z &=& -3 \cr \text{3 I+II} & & & 12y &+& 11z &=& -22 \cr \text{-6 I+III} & & & -8y &-& 14z &=& 28 \cr \cr \text{I} & x &+& y &+& 4z &=& -3 \cr \text{II'} & & & 12y &+& 11z &=& -22 \cr \text{2 II'+3 III'} & & & & & -20z &=& 40 & \Rightarrow z = -2 \cr \cr z=-2 \text{ in II'} & & & 12y &+& 11 \cdot (-2) &=& -22 & \Rightarrow y = 0 \cr z=-2 \text{ und } y=0 \text{ in I} & x &+& 0 &+& 4 \cdot (-2) &=& -3 & \Rightarrow x = 5 \end{array}