   # In problems 37-42, use technology to solve each system of equations, if a solution exists. 40. { x 1 + 2 x 2 + 3 x 3 + 4 x 4 = 2 x 1 + 2 x 2 + 4 x 3 + 3 x 4 = 2 2 x 1 + 4 x 2 + 6 x + 8 x 4 = 4 x 1 + 4 x 2 + 3 x 3 = 4 ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
Publisher: Cengage Learning
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
Publisher: Cengage Learning
ISBN: 9781305108042
Chapter 3.3, Problem 44E
Textbook Problem
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## In problems 37-42, use technology to solve each system of equations, if a solution exists. 40.           { x 1 + 2 x 2 + 3 x 3 + 4 x 4 =       2 x 1 + 2 x 2 + 4 x 3 + 3 x 4 =     2 2 x 1 + 4 x 2 + 6 x + 8 x 4 =       4 x 1 + 4 x 2 + 3 x 3 =         4

To determine

The solution of the system of equations using technology, where the given system is

{x1+2x2+3x3+4x4=2x1+2x2+4x3+3x4=22x1+4x2+6x3+8x4=4x1+4x2+3x3=4

### Explanation of Solution

Given information:

{x1+2x2+3x3+4x4=2x1+2x2+4x3+3x4=22x1+4x2+6x3+8x4=4x1+4x2+3x3=4

Calculation:

To solve the system, first write the given system in the form of augmented matrix.

The augmented matrix is

[1234124324681430|2244].

To solve the given system, we reduce the augmented matrix using Ti-84 plus calculator.

The steps are as follows:

Step1: Press MATRIX key by using [2nd] and x1 key. Select “Edit” option, and press ENTER.

Step 2: Select matrix dimension as 4×5. Press ENTER to write all elements of the given matrix.

Step 3: Then press QUIT key by using [2nd] and MODE key.

Step 4: Now, again press MATRIX key by using [2nd] and x1 key. Select MATH option and drop down to arrow B rref (Then press Enter.

Step 5: Again press MATRIX key by using [2nd] and x1 key. Then select the matrix [A] and press Enter. Then close the parentheses around matrix and press Enter.

The following reduced augmented matrix is obtained:

[10011010200110000|0100]

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