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Dan Buch 2012-04-02 07:04:15 -04:00
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commit a2fbf91015
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math-replay/algebra/solving-for-a-variable.tex
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@ -1,6 +1,7 @@
\documentclass{article} \documentclass{article}
\begin{document} \begin{document}
Solve for $l$:
\begin{eqnarray*} \begin{eqnarray*}
-2lmn + 8m - 3n + 9 & = & -5m + 3n - 7 \\ -2lmn + 8m - 3n + 9 & = & -5m + 3n - 7 \\
-2lmn + 8m - 3n + 9 - 9 & = & -5m + 3n - 7 - 9 \\ -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} \\ l & = & \frac{13m - 6n + 16}{2mn} \\
\end{eqnarray*} \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} \end{document}