Gauss Elimination Method with partial pivoting We got following system of equation :
$0.61X+1.23Y+1.72Z=0.792$
$1.02X+2.15Y-5.51Z=12.0$
$-4.34X+11.2Y-4.25Z=16.3$
with partial pivoting solution set is $\left \{1.59,1.6,-1.25  \right \}$. If the same problem is solved without pivoting the solution set is $\left \{0.79,2.00,-1.25  \right \}$.
When we plugin $\left \{1.59,1.6,-1.25  \right \}$ in first equation we get $0.7363$ on LHS which is not equal to $0.792$
But when we plugin $\left \{0.79,2.00,-1.25  \right \}$ in first equation we get $0.7919$ or $ 0.792$ on LHS which is equal to $0.792 $ on RHS. 
Why is the solution set $\left \{0.79,2.00,-1.25  \right \}$ without pivoting unacceptable ? 
In my book the reason is that 0.79 is not even correct to one significant figure. 

If you plug in the pivoting solution, you get 
$$ 0.7879\\
  11.9493\\
  16.3319$$
which is close enough to the right hand side.
If you plug in the non-pivoting solution, you get
$$
   0.7919\\
  11.9933\\
  24.2839$$
You can see the 3rd one is very far from the original.
