LA2.2.11

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D={\begin{vmatrix}1&1&1\\2&-6&-1\\3&4&2\end{vmatrix}}=11\,

D_{1}={\begin{vmatrix}11&1&1\\0&-6&-1\\0&4&2\end{vmatrix}}=-88\,

D_{2}={\begin{vmatrix}1&11&1\\2&0&-1\\3&0&2\end{vmatrix}}=-77\,

D_{3}={\begin{vmatrix}1&1&11\\2&-6&0\\3&4&0\end{vmatrix}}=286\,

The unique solution x={\frac  {D_{1}}{D}}={\frac  {-88}{11}}=-8\,

y={\frac  {D_{2}}{D}}=-{\frac  {77}{11}}=-7\,

z={\frac  {D_{3}}{D}}={\frac  {286}{11}}=26\,

Thus x=-8,y=-7,z=26\,

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