[en] Four catalogued γ-ray bursts that occurred between 79/3/7 and 79/7/31 have been observed over the 3 to 10 keV range by a joint NRL/Los Alamos experiment on the Air Force P78-1 satellite. The bursts were also well observed by members of the interplanetary network. In this paper we present hardness ratios, x-ray/γ-ray luminosity ratios, and time histories. The most significant results presented herein can be summarized as follows: (1) gamma-ray bursters can emit fairly strongly at x-ray energies near the time of the γ burst with L/sub x//L/sub γ/ approx. .02 (L/sub x/ approx. 10³⁷ ergs s^-1, 3 to 10 keV, assuming a distance of 1 kpc); (2) the centroid of the x-ray emission generally lags the γ-ray centroid, but there is also evidence for one or more types of x-ray precursor activity; (3) the γ-ray hardness ratios were not highly variable for these particular events. However, there is some evidence that the γ-ray spectra softened near the ends of the bursts when the x-ray/γ-ray ratios were high; (4) the x-ray/γ-ray power law number index during times of the strongest γ-ray emission ranged from 0.8 to approx. 1.1 for the four bursts; (5) the x-ray tail of GB790307 probably can be modeled as the cooling of hot plasma generated during the γ-ray burst. Simple versions of this model can be used to estimate various source parameters. These estimates imply a distance of a few hundred to a few thousand pc; (6) gamma-ray bursters probably do not produce events similar to classical x-ray bursts independently of the γ-ray emission