   Chapter 4, Problem 17RE Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

In Exercises 7–18, solve the given system of linear equations. x = 1 2 y 1 2 x = − 1 2 z + 2 z = − 3 x + y

To determine

To calculate: The solution of the system of linear equations consisting of x=12y,12x=12z+2 and z=3x+y.

Explanation

Given Information:

The system of equations is

x=12y12x=12z+2z=3x+y

Formula used:

Elementary row operations:

Type 1: Replacing the row Ri by aRi, where a is a nonzero number.

Type 2: Replacing the row Ri by aRi±bRj, where a is a nonzero number.

Calculation:

Consider the system of equation,

x=12y12x=12z+2z=3x+y

Rewrite the given equations in standard form,

x12y=012x+12z=23x+yz=0

The augmented matrix for the given system of equations is



Apply Gauss Jordan reduction method to get the solution of the given system of equation.

Begin by simplification of first and second row in matrix by the operation R12R1,R22R2,



Select the first nonzero element of first row and clear its column

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