\\ corruption
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I am not sure how much alignment you want. For the following I assume you want to align at every monomial, at every arithmetic operation, and all monomials are to be flushright. Then you should use an array environment if you demand such fine control on the alignments.

\[\begin{array}{rrcrcrcrcrrrcrcrcr}
a)&&& x &-& 2y&-& 4z&=&  1 & \qquad b)&&& -23x&+& 43y&=&22\    43y&=&22\\
  &&& 3x&-&  y&-&  z&=& -1 &&&&              x&-&  5y&=&-1\    1\\
  &&& x &-&11y&+&22z&=&110 \    \    \\
\\
c)&   x&+&   y&-& 4z&-&  u&=&  1& \qquad d)& -23x&+& 43y&-&  t&=&    2\    2\\
  & 10x&-&   y&-& 5z&+& 6u&=& -1&&              x&-&  5y&+& 6t&=&  -10\    10\\
  &   x&-& 11y&+& 2z&-&22u&=& 11&&             5x&-&  8y&-& 6t&=& -100\    100\\
  &   x&-& 18y&+& 8z&+& 2u&=& -6 
\end{array}\]

I am not sure how much alignment you want. For the following I assume you want to align at every monomial, at every arithmetic operation, and all monomials are to be flushright. Then you should use an array environment if you demand such fine control on the alignments.

\[\begin{array}{rrcrcrcrcrrrcrcrcr}
a)&&& x &-& 2y&-& 4z&=&  1 & \qquad b)&&& -23x&+& 43y&=&22\      &&& 3x&-&  y&-&  z&=& -1 &&&&              x&-&  5y&=&-1\      &&& x &-&11y&+&22z&=&110 \    \    c)&   x&+&   y&-& 4z&-&  u&=&  1& \qquad d)& -23x&+& 43y&-&  t&=&    2\      & 10x&-&   y&-& 5z&+& 6u&=& -1&&              x&-&  5y&+& 6t&=&  -10\      &   x&-& 11y&+& 2z&-&22u&=& 11&&             5x&-&  8y&-& 6t&=& -100\      &   x&-& 18y&+& 8z&+& 2u&=& -6 
\end{array}\]

I am not sure how much alignment you want. For the following I assume you want to align at every monomial, at every arithmetic operation, and all monomials are to be flushright. Then you should use an array environment if you demand such fine control on the alignments.

\[\begin{array}{rrcrcrcrcrrrcrcrcr}
a)&&& x &-& 2y&-& 4z&=&  1 & \qquad b)&&& -23x&+& 43y&=&22\\
  &&& 3x&-&  y&-&  z&=& -1 &&&&              x&-&  5y&=&-1\\
  &&& x &-&11y&+&22z&=&110 \\
\\
c)&   x&+&   y&-& 4z&-&  u&=&  1& \qquad d)& -23x&+& 43y&-&  t&=&    2\\
  & 10x&-&   y&-& 5z&+& 6u&=& -1&&              x&-&  5y&+& 6t&=&  -10\\
  &   x&-& 11y&+& 2z&-&22u&=& 11&&             5x&-&  8y&-& 6t&=& -100\\
  &   x&-& 18y&+& 8z&+& 2u&=& -6 
\end{array}\]
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Willie Wong
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I am not sure how much alignment you want. For the following I assume you want to align at every monomial, at every arithmetic operation, and all monomials are to be flushright. Then you should use an array environment if you demand such fine control on the alignments.

\[\begin{array}{rrcrcrcrcrrrcrcrcr}
a)&&& x &-& 2y&-& 4z&=&  1 & \qquad b)&&& -23x&+& 43y&=&22\      &&& 3x&-&  y&-&  z&=& -1 &&&&              x&-&  5y&=&-1\      &&& x &-&11y&+&22z&=&110 \    \    c)&   x&+&   y&-& 4z&-&  u&=&  1& \qquad d)& -23x&+& 43y&-&  t&=&    2\      & 10x&-&   y&-& 5z&+& 6u&=& -1&&              x&-&  5y&+& 6t&=&  -10\      &   x&-& 11y&+& 2z&-&22u&=& 11&&             5x&-&  8y&-& 6t&=& -100\      &   x&-& 18y&+& 8z&+& 2u&=& -6 
\end{array}\]