TeX Quellcode:

\begin{array}{crcrcrcrl} \text{I} & 7x &-& 5y &+& 2z &=& 16 \cr \text{II} & 14x &-& 7y & & &=& 14 \cr \text{III} & -3x & & &-& z &=& -3 \cr \cr \text{I} & 7x &-& 5y &+& 2z &=& 16 \cr \text{II} & 14x &-& 7y & & &=& 14 \cr \text{I+2III} & x &-& 5y & & &=& 10 \cr \cr \text{I} & 7x &-& 5y &+& 2z &=& 16 \cr \text{II} & x &-& 5y & & &=& 10 \cr \text{II-14III'} & & & 63y & & &=& -126 & \Rightarrow y = -2 \cr \cr y = -2 \text{ in II} & & & x &-& 5\cdot \left(-2\right) &=& 10 & \Rightarrow x = 0 \cr x = 0 \text{ und } y = -2 \text{ in I} & 7\cdot0 &-& 5\cdot \left(-2\right) &+& 2z &=& 16 & \Rightarrow z = 3 \end{array}