Finding the fundamental Pell solution from a system of Pell-like equations

Question

Assume $d$ is a non-square integer, and $r,s,t,w$ are integers, and $n$ and $m $ are integers with $n,m \neq 0,\pm 1$, satisfying the system of Pell-like equations \begin{align} r^2-ds^2 &= m, \\ t^2-dw^2 &= mn. \end{align} Can I use this information [and nothing else] to determine the fundamental solution $(u,v)$ to the Pell equation $$U^2-dV^2=1$$ ?