In Exercises 41, use the four-step strategy to solve each problem Use x, y and z to represent unknown quantities- Then translate from the verbal conditions of the problem to a System of three 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.
Source: statista.com
The combined weekly study time for students majoring in chemical engineering, mathematics, and psychology is 52 hours. The difference between weekly study lime for chemical engineering majors and math majors is 6 hours. The difference between weekly study time for chemical engineering majors and psychology majors is 8 hours, find the average number of hours per week that chemical engineering majors mathematics majors, and psychology majors spend studying.
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College Algebra (7th Edition)
- Write an application problem similar to Example 4.14. Then translate to a system of equations and solve it.arrow_forwardWrite an application problem similar to Example5.37 using the ages of two of your friends or family members. Then translate to a system of equations and solve it.arrow_forwardGiven a system of equations, explain at least two different methods of solving that system.arrow_forward
- Use the system of three equations in three variables to solve each problem. Work schedules A college student earns 198.50 per week working three part-time jobs. Half of his 30-hour work week is spent cooking hamburgers at a fast-food chain, earning 5.70 per hour. In addition, the student earns 6.30 per hour doing janitorial work. How many hours per week does the student work at each jobarrow_forwardWrite a uniform motion problem similar to Example 5.42 that relates to where you live with your friends or family members. Then translate to a system of equations and solve it.arrow_forwardWrite a system of three equations in three variables with an infinite number of solutions.arrow_forward
- In Exercises 4-6, solve the system of equations graphically. y=9x2y=x+3arrow_forwardCan a linear system of three equations have exactly two solutions? Explain why or why notarrow_forwardTake a handful of two types of coins, and write a problem similar to Example 5.46 relating the total number of coins and their total value. Set up a system of equations to describe your situation and then solve it.arrow_forward
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