more solution notes

math-replay/algebra/solving-for-a-variable.tex

@@ -1,6 +1,7 @@
 \documentclass{article}
 \begin{document}
 
+Solve for $l$:
 \begin{eqnarray*}
 -2lmn + 8m - 3n + 9 & = & -5m + 3n - 7 \\
 -2lmn + 8m - 3n + 9 - 9 & = & -5m + 3n - 7 - 9 \\
@@ -51,4 +52,16 @@ l & = & \frac{-13m + 6n + -16}{-2mn} \\
 l & = & \frac{13m - 6n + 16}{2mn} \\
 \end{eqnarray*}
 
+Solve for $x$:
+\begin{eqnarray*}
+-2xy + 5xz - 5x + 10 & = & -6y - 2 \\
+-2xy + 5xz - 5x + 10 - 10 & = & -6y - 2 - 10 \\
+-2xy + 5xz - 5x & = & -6y + -2 + -10 \\
+-2xy + 5xz - 5x & = & -6y + -12 \\
+-2xy + 5xz - 5xz - 5x & = & -6y - 12 - 5xz \\
+-2xy - 5x & = & -6y - 12 - 5xz \\
+-2xy + 2xy - 5x & = & -6y - 12 - 5xz + 2xy \\
+-5x & = & -6y - 12 - 5xz + 2xy \\
+\end{eqnarray*}
+
 \end{document}