In Exercises 3341, use the four-step strategy to solve eachproblem. Use x, y, and z to

Chapter 5, Problem 33

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In Exercises 3341, use the four-step strategy to solve eachproblem. Use x, y, and z to represent unknown quantities. Thentranslate from the verbal conditions of the problem to a system ofthree equations in three variables.The bar graph shows the average number of hours U.S.college students study per week for seven selected majors.Study times are rounded to the nearest hour.The combined weekly study time for students majoringin chemical engineering, mathematics, and psychology is52 hours. The difference between weekly study time forchemical engineering majors and math majors is 6 hours.The difference between weekly study time for chemicalengineering majors and psychology majors is 8 hours.Find the average number of hours per week that chemicalengineering majors, mathematics majors, and psychologymajors spend studying.