Precalculus Functions and Graphs 4/e   Barnett/Ziegler/Byleen
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Chapter 8: Systems of Equations and Inequalities

Worked Exercises

Chapter 8: Systems of Equations and Inequalities

Solve by graphing.

Solution

Solve the expression using elimination by addition.

Solution

Solve the expression using augmented matrix methods.

Solution

APPLICATIONS

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Solve the expression using Gauss-Jordan elimination.

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APPLICATION

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Solve the system.

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An important type of calculus problem is to find the area between the graphs of two functions. To solve some of these problems it is necessary to find the coordinates of the points of intersections of the two graphs. In the following equation, find the coordinates of the points of intersection.

Solution

Solve the system.

Solution

APPLICATIONS

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Solve the system graphically.

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Solve the system graphically and indicate whether the solution region is bounded or unbounded. Find the coordinates of the corner point.

Solution


Solution

Find the maximum value of the objective function over the feasible region S shown in the figure below:

Solution

Solve the linear programming problem.

Solution

APPLICATIONS

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Solution

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