diff --git a/math-replay/algebra/solving-for-a-variable.tex b/math-replay/algebra/solving-for-a-variable.tex index 7875d95..3f86b74 100644 --- a/math-replay/algebra/solving-for-a-variable.tex +++ b/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}