Using the augmented matrix, we find that:
- The first system has no solutions.
- The second system has infinite solutions, given by: (-3t, 0, t).
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For the first system, looking at the third row of the matrix, the relation is:
[tex]0t = 1[/tex]
Which is not possible, thus there are no solutions.
For the second system, the third line is:
[tex]0t = 0[/tex]
Which means that there are infinite solutions, and t is the free parameter.
From the second line, y = 5.
From the first, [tex]x + 3t = 0 \rightarrow x = -3t[/tex]
The solutions are: (-3t, 0, t).
A similar problem is given at https://brainly.com/question/24783392
