Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
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Chapter 4.6, Problem 4E
To determine

To evaluate: an augmented matrix for system of equations and solve by graphing calculator.

Expert Solution & Answer
Check Mark

Answer to Problem 4E

The solution is (0.75,0.5)

Explanation of Solution

Given information:

  4x+6y=08x2y=7 .

Formula used:

An augmented matrix contains the coefficient matrix of an extra column containing the constant terms.

Calculation:

Step 1.

Using system of equations the augmented matrix is ,

  4x+6y=08x2y=7

  A=[460827]

Keystrokes:

  2nd[MATRIX]ENTER2ENTER3ENTER4ENTER6ENTER0ENTER8ENTER()2ENTER7ENTER

Step 2.

The reduced row echelon form (rref) using the graphing calculator.

Keystrokes:

  2nd[QUIT]2nd[MATRIX]ALPHA[A][MATRIX]ENTER)ENTER

The first two columns are same as 2×2 identity matrix. The first two row represents

  x=0.75 , the second row represents y=0.5 . The solution is

  (4,6) .

  Algebra 2, Chapter 4.6, Problem 4E

Hence, the solution is (0.75,0.5) .

Chapter 4 Solutions

Algebra 2

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