Figure 1 gives the responses of a group of 100 randomly selected college freshmen when asked for the highest academic degree that they intended to obtain. Twice as many students intended to obtain master's degrees as their highest degree than intended to obtain bachelor's degrees as their highest degree. The number of students intending to obtain bachelor's or master's degrees as their highest degree was 26 more than the number who intended to obtain other degrees as their highest degree. Let x, y, and z represent the three numbers shown in Fig. 1. Use the methods of this section to determine the values of x, y, and z.
Figure 1 Highest Degree Intended

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50 40 30 20 10 Master's Bachelor's Other