If $A = \begin{bmatrix} 2 & 1 & 3 \\ 4 & -1 & 0 \\ -7 & 2 & 1 \end{bmatrix}$, find $A^{-1}$ and hence solve the following system of equations : $\begin{array} 2x+y+3z=3 \\ 4x-y =3 \\ -7x+2y+z=2 \end{array}$

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