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Is it possible to put a system of equations parallel to the matrix?

$4T_1-T_2 - T_4 = 30$
$-T_1+4T_2 -T_3 = 60$
$-T_2 + 4T_3 + T_4 = 70$
$-T_1 + T_3 + 4T_4 = 40$

Is it possible to put the above system of equations parallel to right side of the below matrix?

$ \begin{bmatrix} 4 & -1 & 0 & -1 & 30 \\ -1 & 4 & -1 & 0 & 60 \\ 0 & -1 & 4 & 1 & 70 \\ -1 & 0 & 1 & 4 & 40 \\ \end{bmatrix} $