How to solve the equation $Au+Bv=C$

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How do I solve $Au+Bv=C$ Where $A$ and $B$ are constant known matrices that are nxn, $C$ is a constant known nx1 vector while $u$ and $v$ are unknown nx1 vectors with the condition given that $u_i = \frac{1}{v_i}$ for all i. Please help.