   Chapter 4.2, Problem 63E 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

Give an example of a system of three linear equations with the general solution x = 1 ,     y = 1 + z ,   z arbitrary. (Check your system by solving it.)

To determine

The example of a system of three linear equations with the general solution x=1,y=1+z;zarbitrary and check your system by solving it.

Explanation

Given Information:

The general solution is x=1,y=1+z;zarbitrary.

Consider a general solution is x=1,y=1+z;zarbitrary.

An example of three linear equations satisfying the given general solution is,

x=1yz=1x+yz=2

Verify the system by solving it using reduction method.

The augmented matrix for the given system of equations is,



Begin by pivoting the first nonzero element of the first row and clear its column.

Perform the operation R3R3R1,



Next simplify the third row

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