- #1

hoju

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Consider the system of equations:

1 3 2 |1

0 -4 5 |-23

2 2 9 |t

Find values of t for which solutions to this augmented matrix can be obtained.

**Explain the implications of this example in the theory of linear equations.**

Answer:

I found that t=-21 and that the solution is of the form {x, y, z} = {-1/4(23z+65), 1/4(5z+23), z}. That much is correct. What I don't know is what the bold statement above is asking of me. Any help is appreciated. Thanks.