Answer
$(-1,-3,0.5)$
Work Step by Step
Write the augmented matrix and,
using row transformations arrive at the reduced row echelon form.
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It was suggested to use technology for some problems...
Using technology :
to generate the rref.
Syntax for matrix input:
A:={{1, 1, 6, -1},{ 1/3, -1/3, 2/3, 1},{ 1/2, 0, 1, 0}}
In the input box, begin typing "Red..."
select the function:
ReducedRowEchelonForm(A)
Solution: $(-1,-3,0.5)$