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OpenStudy (anonymous):
show that the following system is consistent if and only if (c=2a-3b) and solve the system in this case : 2x-y+3z=a 3x+y-5z=b -5x-5y+21z=c
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OpenStudy (anonymous):
\[\left[\begin{matrix}2 & -1 & 3 & | & a\\ 3 & 1 & -5 & | & b \\ -5 & -5 & 21 & | & c\end{matrix}\right] \rightarrow c=2a-3b\]
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