Answer
($1,\ -2+z,\ z)$, z arbitrary
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...
Syntax for matrix input:
A:={ {2, -1, 1, 4} , {3, -1, 1, 5} }
In the input box, begin typing "Red..."
select the function:
ReducedRowEchelonForm(A)
(see screenshot)
Letting z be arbitrary,
$x=1,$
$y=-2+z$
Solution:
($1,\ -2+z,\ z)$, z arbitrary