Using the ultrasonic pulse technique at a carrier frequency of 10 Mc/sec, we have measured the longitudinal velocity of sound in liquid and solid He 8 , He 4 , and He 3 -He 4 mixtures (0.0, 5.03, 25.0, 74.9, 98.00, 99.84% He 3 ) in the temperature range from 1 to 4.2°K and the pressure range from 1 to 150 atm. An upper limit to the attenuation of sound in the region of the solid investigated is on the order of 0.3 to 0.7 cm -1 . Values of the adiabatic compressibility of the liquid along the melting curve of He 4 are given. The discontinuity in the propagation velocity at a first-order phase boundary was utilized to locate the solidification curves of these samples and also to investigate the bcc-hcp crystallographic transition in solid samples, including pure He 4 , similar to that observed in pure He 3 by Grilly and Mills. The triple points for this transition in He 4 are given by T t = 1.449±0.003°K, P* = 26.18=fc0.05 atm; T u = 1.778db0.003°K, P"=30.28±0.05 atm. The upper triple points for the mixtures lie on a straight line connecting He 3 and He 4 in temperaturepressure space. In addition, by observing the peak in the attenuation of sound, it was possible to measure the X line in He 4 and in the 5.0% and 25.0% He 8 liquid mixtures. The upper X point for pure He 4 is given by T a = 1.765db0.003°K and P a = 29.90:fc0.05 atm. Comparison is made with existing data wherever possible.