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Chapter 4: Q. 196 (page 443)

Write each system of linear equations as an augmented matrix:

Part (a): 3x-y=-12y=2x+5

Part (b): 4x+3y=-2x-2y-3z=72x-y+2z=-6

Short Answer

Expert verified

Part (a): The augmented matrix is 3-1-1-225.

Part (b): The augmented matrix is 430-21-2-372-12-6.

Step by step solution

01

Part (a) Step 1. Given information.

Consider the given system of equations,

3x-y=-12y=2x+5

Here, the second equation is not in standard form.

Rewrite the second equation in standard form,

localid="1645427129270" 2y=2x+5-2x+2y=5

02

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

Write the standard form of the second equation,

3x-y=-1-2x+2y=5

Write the augmented matrix,

3-1-1-225

03

Part (b) Step 1. Given information.

Consider the given system of equations,

4x+3y=-2x-2y-3z=72x-y+2z=-6

Here all the equations are in the standard form.

Write the augmented matrix,

430-21-2-372-12-6

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