box-o-sand/math-replay/algebra/linear-equations-2.haml

%html
  %head
    %title Linear Equations 2
    %script{:type => "text/x-mathjax-config"}
      MathJax.Hub.Config({tex2jax: {inlineMath: [['$','$'], ['\\(','\\)']]}});
    %script{:type => "text/javascript", :src => "http://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"}
    %link{:rel => 'stylesheet', :type => 'text/css', :href => './style.css'}
  %body
    %h2 Solve for $x$:
    #solve-for-x-01.solution
      :escaped
        $$
        \begin{eqnarray}
        6x + 8 & = & 5 \\
        -8 + 6x + 8 & = & 5 - 8 \\
        6x & = & 5 - 8 \\
        6x & = & -3 \\
        6x \times \frac{1}{6} & = & -3 \times \frac{1}{6} \\
        x & = & -3 \times \frac{1}{6} \\
        x & = & -3 \over 6 \\
        x & = & \frac{-1}{2} \\
        \end{eqnarray}
        $$

    %h2 Solve for $x$ (again):
    #solve-for-x-02.solution
      :escaped
        $$
        \begin{eqnarray}
        10x - 2 & = & 8 \\
        10x - 2 + 2 & = & 8 + 2 \\
        10x & = & 10 \\
        10x \over 10 & = & 10 \over 10 \\
        x & = & 10 \over 10 \\
        x & = & 1 \\
        \end{eqnarray}
        $$

    %h2 Solve for $x$ (again):
    #solve-for-x-03.solution
      :escaped
        $$
        \begin{eqnarray}
        6x - 4 & = & 3 \\
        6x - 4 + 4 & = & 3 + 4 \\
        6x & = & 7 \\
        6x \over 6 & = & 7 \over 6 \\
        x & = & 7 \over 6 \\
        \end{eqnarray}
        $$

    %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
        $$
        \begin{eqnarray}
        3x + 10 & = & 7 \\
        3x + 10 - 10 & = & 7 - 10 \\
        3x & = & -3 \\
        3x \over 3 & = & -3 \over 3 \\
        x & = & -1 \\
        \end{eqnarray}
        $$