$\begin{cases}-2b+3c=1 \\ 3a+6b-3c=-2 \\ 6a+6b+3c=5\end{cases}$
I got an inconsistent linear system with the third row being 0 0 0 6.
May someone please verify if I am right? I looked it over.
2026-03-26 01:07:27.1774487247
Solve the linear system by Gaussian elimination
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Your calculations are correct, since you end up with the last line of the matrix being 0 0 0 6 the last equation in the reduced matrix has no solution so the whole system has no solution