Figure 3 gives the responses of a group of 100 randomly selected college freshmen when asked for

Question:

Figure 3 gives the responses of a group of 100 randomly selected college freshmen when asked for the type of high school attended. The number of students who attended public schools was 5 times the number who attended private schools minus 3 times the number who were homeschooled. The number of students who were homeschooled was 29 times the number who attended private schools minus 6 times the number who attended public schools. Use the methods of this section to determine the values of x, y, and z in Fig. 3.
Figure 3 Type of High School Attended