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Chapter 4: Q. 198 (page 443)

Write each system of linear equations as an augmented matrix:

Part (a): 3x-y=-42x=y+2

Part (b):x-3y-4z=-24x+2y+2z=52x-5y+7z=-8

Short Answer

Expert verified

Part (a): The augmented matrix is 3-1-42-12.

Part (b): The augmented matrix is 1-3-4-242252-57-8.

Step by step solution

01

Part (a) Step 1. Given information.

Consider the given system of equations,

3x-y=-42x=y+2

Here, the second equation is not in standard form.

Rewrite the second equation in standard form,

2x=y+22x-y=2

02

Part (a) Step 2. Write in augmented matrix.

Write the standard form of the second equation,

3x-y=-42x-y=2

Write the augmented matrix,

3-1-42-12

03

Part (b) Step 1. Given information.

Consider the given system of equations,

x-3y-4z=-24x+2y+2z=52x-5y+7z=-8

Here all the equations are in the standard form.

Write the augmented matrix,

1-3-4-242252-57-8

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