  We apply the one-loop results of the $SU(3)_L\times SU(3)_R$ ChPT suplemented
with the inverse amplitude method to fit the available experimental data on
$\pi\pi$ and $\pi K$ scattering. With esentially only three parameters we
describe accurately data corresponding to six different channels, namely
$(I,J)=(0,0), (2,0), (1,1), (1/2,0), (3/2,0)$ and $(1/2,1)$. In addition we
reproduce the first resonances of the $(1,1)$ and $(1/2,1)$ channel with the
right mass corresponding to the $\rho$ and the $K^*(892)$ particles.
