From 25d04fc9ea33f2e3f877c9405442c8bdd0443154 Mon Sep 17 00:00:00 2001 From: Dan Buch Date: Tue, 3 Apr 2012 21:52:19 -0400 Subject: [PATCH] yet more linear equations --- math-replay/algebra/linear-equations-2.haml | 78 +++++++++++++++++++++ 1 file changed, 78 insertions(+) diff --git a/math-replay/algebra/linear-equations-2.haml b/math-replay/algebra/linear-equations-2.haml index a8c60fb..f8d0a02 100644 --- a/math-replay/algebra/linear-equations-2.haml +++ b/math-replay/algebra/linear-equations-2.haml @@ -50,3 +50,81 @@ x & = & 7 \over 6 \\ \end{eqnarray} $$ + + %h2 Solve for $x$ (again): + #solve-for-x-04.solution + :escaped + $$ + \begin{eqnarray} + 10x + 7 & = & 8 \\ + 10x + 7 - 7 & = & 8 - 7 \\ + 10x & = & 1 \\ + 10x \over 10 & = & 1 \over 10 \\ + x & = & 1 \over 10 \\ + \end{eqnarray} + $$ + + %h2 Solve for $x$ (again): + #solve-for-x-05.solution + :escaped + $$ + \begin{eqnarray} + 10x + 3 & = & 5 \\ + 10x + 3 - 3 & = & 5 - 3 \\ + 10x & = & 2 \\ + 10x \over 10 & = & 2 \over 10 \\ + x & = & 1 \over 5 \\ + \end{eqnarray} + $$ + + %h2 Solve for $x$ (again): + #solve-for-x-06.solution + :escaped + $$ + \begin{eqnarray} + 4x + 9 & = & 10 \\ + 4x + 9 - 9 & = & 10 - 9 \\ + 4x & = & 1 \\ + 4x \over 4 & = & 1 \over 4 \\ + x & = & 1 \over 4 \\ + \end{eqnarray} + $$ + + %h2 Solve for $x$ (again): + #solve-for-x-07.solution + :escaped + $$ + \begin{eqnarray} + 7x - 5 & = & 9 \\ + 7x - 5 + 5 & = & 9 + 5 \\ + 7x & = & 14 \\ + 7x \over 7 & = & 14 \over 7 \\ + x & = & 2 \\ + \end{eqnarray} + $$ + + %h2 Solve for $x$ (again): + #solve-for-x-08.solution + :escaped + $$ + \begin{eqnarray} + 3x + 9 & = & 9 \\ + 3x + 9 - 9 & = & 9 - 9 \\ + 3x & = & 0 \\ + 3x \over 3 & = & 0 \over 3 \\ + x & = & 0 \\ + \end{eqnarray} + $$ + + %h2 Solve for $x$ (again): + #solve-for-x-09.solution + :escaped + $$ + \begin{eqnarray} + 3x + 10 & = & 7 \\ + 3x + 10 - 10 & = & 7 - 10 \\ + 3x & = & -3 \\ + 3x \over 3 & = & -3 \over 3 \\ + x & = & -1 \\ + \end{eqnarray} + $$