ISE Intermediate Algebra
ISE Intermediate Algebra
6th Edition
ISBN: 9781264418756
Author: Miller, Julie, O'Neill, Molly, Hyde, Nancy
Publisher: McGraw Hill
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Chapter A.1, Problem 58PE

For Exercises 49-58, solve the system by using Cramer’s rule, if possible. Otherwise, use another method. If a system does not have a unique solution, determine the number of solutions and whether the system is inconsistent or the equations are dependent. (See Example 8.)

58. 8 x + y + z = 6 2 x y + z = 3 3 x z = 0

Example 8

Analyzing a Dependent System of Equations Solve the system by using Cramer’s rule if possible. 2 x 3 y = 6 6 x + 9 y = 18

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Question 1. Solve the system - x1 x2 + 3x3 + 2x4 -x1 + x22x3 + x4 2x12x2+7x3+7x4 Question 2. Consider the system = 1 =-2 = 1 3x1 - x2 + ax3 = 1 x1 + 3x2 + 2x3 x12x2+2x3 = -b = 4 1 For what values of a, b will the system be inconsistent? 2 For what values of a, b will the system have only one solution? For what values of a, b will the saystem have infinitely many solutions?

Chapter A.1 Solutions

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