Answer
True.
Work Step by Step
Two ordered triplets are equal if their corresponding components are equal.
From the form of solutions, the third component indicates that $z=1.$
Second components, $5(1)-1=4$
are also equal.
The first components, $2(1)+3=5$
are also equal.
So, for z=1, (5,4,1) belongs to the solution set, because it has the indicated form.
