How could I solve the following system of equations:
$xn_1^y+z=m_1$ $xn_2^y+z=m_2$ $xn_3^y+z=m_3$ where $n_k$ and $m_k$ are parameters?
I am looking for an exact answer, but if it is not feasible, then a rough description of a numerical approach would be appreciated. Thank you.