Explanation Given information: System of equations 2 x + y − 4 z = 3 , − 3 x + 4 y − z = − 2 , − 3 x + 4 y − z = − 2 . Calculation: Consider the system of equations, 2 x + y − 4 z = 3 ... ( i ) x − 2 y + 3 z = 4 ... ( i i ) − 3 x + 4 y − z = − 2 ... ( i i i ) From the equation (ii) plug x = 4 + 2 y − 3 z into eq. (i), 2 ( 4 + 2 y − 3 z ) + y − 4 z = 3 8 + 4 y − 6 z + y − 4 z = 3 8 + 5 y − 10 z = 3 5 y − 10 z = − 5 y − 2 z = − 1 ... ( i v ) Multiply eq. (i) with 3 and eq. (iii) with 2 and add both the equations, 6 x + 3 y − 12 z = 9 − 6 x + 8 y − 2 z = − 4 _ 11 y − 14 z = 5

Precalculus: A Unit Circle Approach, Books a la Carte Edition plus MyMathLab with Pearson eText -- Access Card Package (2nd Edition)

2nd Edition

ISBN: 9780321869401

Author: J. S. Ratti

Publisher: PEARSON

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Chapter 8, Problem 9CRE

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The solution of given system of equations 2x+y−4z=3, −3x+4y−z=−2, −3x+4y−z=−2.

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Chapter 8, Problem 8CRE

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Chapter 8 Solutions

Precalculus: A Unit Circle Approach, Books a la Carte Edition plus MyMathLab with Pearson eText -- Access Card Package (2nd Edition)

Ch. 8.2 - Prob. 1E Ch. 8.2 - Prob. 2E Ch. 8.2 - Prob. 3E Ch. 8.2 - Prob. 4E Ch. 8.2 - Prob. 5E Ch. 8.2 - Prob. 6E Ch. 8.2 - Prob. 7E Ch. 8.2 - Prob. 8E Ch. 8.2 - Prob. 9E Ch. 8.2 - Prob. 10E

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The solution of given system of equations 2 x + y − 4 z = 3 , − 3 x + 4 y − z = − 2 , − 3 x + 4 y − z = − 2 .

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The solution of given system of equations 2x+y−4z=3, −3x+4y−z=−2, −3x+4y−z=−2.

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Chapter 8 Solutions