$\left\{u+v-w\=1\,2u-v+3w\=\mathrm{-2}\,2u+2v+3w\=0\right\}$

$\left\{u\+v-w\=1\,2u-v\+3w\=-2\,2u\+2v\+3w\=0\right\}$

$\mathrm{fsolve}\left(\,\left\{u\,v\,w\right\}\right)$

$\left\{u\=-0.06666666667\,v\=0.6666666667\,w\=-0.4000000000\right\}$