Argthtjtr

I need to make some system equations but when I place them on one row I have this problem. Space between | and x. How to remove it?

begin{document}

  Example 1: 

  \

     $left| begin{array}{@{}*{4}{c@{,}}l} 

        2x+3y-cancel{z}=4 \

        3x+2y+2=6 

    end{array}right.$

    textrightarrow

    $; 5x+5y=10$ textrightarrow 

    $; x+y=2;$

    $;$ % Space

     $left| begin{array}{@{}*{4}{c@{,}}l} 

    x-y+2z=2 \

    3x+2y-z=4 | .2 

    end{array}right.$

    textrightarrow

end{document}

You can better exploit array:

documentclass{article}

usepackage{amsmath,array,cancel}



newenvironment{system}[1]

 {%

  left|setlength{arraycolsep}{0pt}

  begin{array}{ @{} *{numexpr2*#1relax}{ >{{}} r <{{}} } l @{} }%

 }

 {end{array}right.}



begin{document}



$begin{system}{3}

 2x &+& 3y &-& cancel{z} &=& 4 \

 3x &+& 2y &+& cancel{z} &=& 6

 end{system}

 rightarrow

 5x+5y=10

 rightarrow

 x+y=2

 rightarrow

 begin{system}{3}

  x &-&  y &+& 2z &=& 2 \

 3x &+& 2y &-&  z &=&4 mid .2

 end{system}$



end{document}

This way the unknowns are perfectly aligned to each other. The argument to system specifies the number of unknowns.

Rather than eliminating the space, I propose working instead to align columns in the systems of equations. Also, by making it one big math expression, the spacing also takes on a more natural appearance.

documentclass{article}

usepackage{array,amsmath,cancel,tabstackengine}

setstacktabulargap{0pt}

TABstackMath

begin{document}

  noindent Example 1: 

  \

     $left| tabularCenterstack{rrrl}{

        2x+&3y-&cancel{z}=&4 \

        3x+&2y+&cancel{z}=&6 

    }right.

    rightarrow

     5x+5y=10 rightarrow 

     x+y=2;

     left| tabularCenterstack{rrrl}{ 

    x-&y+&2z=&2 \

    3x+&2y-&z=&4 | .2 

    }right.

    rightarrow$

end{document}

It is quite simple to type it with the systeme package:

documentclass{article}

usepackage{amsmath, cancel, systeme}



begin{document}



   [ sysdelim | .

   systeme{2x + 3y-cancel z = 4,3x + 2y + z = 6} longrightarrow 5x + 5y = 10 longrightarrow x + y = 20 longrightarrow systeme{x-y + 2z = 2, 3x + 2y - z = 4|. 2} ]%



end{document}

I suggest you load the mathtools package and use its matrix* environment instead of the second array, along with three well-placed phantom instructions. I would also replace .2 with cdot2.

documentclass{article}

usepackage{cancel,mathtools}

newcommandwideto{quadtoquad}



begin{document}

noindent

Example 1: 

begin{align*}

renewcommandarraystretch{1.333}

&leftvertbegin{matrix}

   2x+3y-cancel{z}=4 \

   3x+2y+cancel{z}=6 

end{matrix}right.

wideto

5x+5y=10

wideto

x+y=2

; \

&leftvertbegin{matrix*}[l] 

    phantom{3}x-phantom{2}y+2z=2 \

    3x+2y-phantom{2}z=4 ;| cdot2, {}+{}

end{matrix*}right.

wideto 

7x+3y=10

wideto 

x+tfrac{3}{7}y=tfrac{10}{7};

end{align*}

end{document}