If $A =\begin{bmatrix} x & -2 \\ 3 & 7 \end{bmatrix}$ and $A^{-1} = \begin{bmatrix} \frac{7}{34} & \frac{1}{17} \\ \frac{3}{34} & \frac{2}{17} \end{bmatrix}$ then find the value of $x$.

Question

$(A)\; x = 4$
$(B)\; x = -4$
$(C)\; x = 1$
$(D) \; x = -1$