Is it wrong to write a linear system as below?

Suppose we have the following linear system

$\begin{array}{rl}2{x}_{1}+3{x}_{2}+4{x}_{3}& =1\\ 2{x}_{2}-3{x}_{3}& =6\\ 0& =0.\end{array}$

Is it wrong to write the above linear system by including all the zero coefficients as below

$\begin{array}{rl}2{x}_{1}+3{x}_{2}+4{x}_{3}& =1\\ 0{x}_{1}+2{x}_{2}-3{x}_{3}& =6\\ 0{x}_{1}+0{x}_{2}+0{x}_{3}& =0\end{array}$

instead?

Suppose we have the following linear system

$\begin{array}{rl}2{x}_{1}+3{x}_{2}+4{x}_{3}& =1\\ 2{x}_{2}-3{x}_{3}& =6\\ 0& =0.\end{array}$

Is it wrong to write the above linear system by including all the zero coefficients as below

$\begin{array}{rl}2{x}_{1}+3{x}_{2}+4{x}_{3}& =1\\ 0{x}_{1}+2{x}_{2}-3{x}_{3}& =6\\ 0{x}_{1}+0{x}_{2}+0{x}_{3}& =0\end{array}$

instead?