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

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    %title Linear Equations 2
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    %h2 Solve for $x$:
    :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} \\

    %h2 Solve for $x$ (again):
    :eqnarray
      10x - 2 & = & 8 \\
      10x - 2 + 2 & = & 8 + 2 \\
      10x & = & 10 \\
      10x \over 10 & = & 10 \over 10 \\
      x & = & 10 \over 10 \\
      x & = & 1 \\

    %h2 Solve for $x$ (again):
    :eqnarray
      6x - 4 & = & 3 \\
      6x - 4 + 4 & = & 3 + 4 \\
      6x & = & 7 \\
      6x \over 6 & = & 7 \over 6 \\
      x & = & 7 \over 6 \\

    %h2 Solve for $x$ (again):
    :eqnarray
      10x + 7 & = & 8 \\
      10x + 7 - 7 & = & 8 - 7 \\
      10x & = & 1 \\
      10x \over 10 & = & 1 \over 10 \\
      x & = & 1 \over 10 \\

    %h2 Solve for $x$ (again):
    :eqnarray
      10x + 3 & = & 5 \\
      10x + 3 - 3 & = & 5 - 3 \\
      10x & = & 2 \\
      10x \over 10 & = & 2 \over 10 \\
      x & = & 1 \over 5 \\

    %h2 Solve for $x$ (again):
    :eqnarray
      4x + 9 & = & 10 \\
      4x + 9 - 9 & = & 10 - 9 \\
      4x & = & 1 \\
      4x \over 4 & = & 1 \over 4 \\
      x & = & 1 \over 4 \\

    %h2 Solve for $x$ (again):
    :eqnarray
      7x - 5 & = & 9 \\
      7x - 5 + 5 & = & 9 + 5 \\
      7x & = & 14 \\
      7x \over 7 & = & 14 \over 7 \\
      x & = & 2 \\

    %h2 Solve for $x$ (again):
    :eqnarray
      3x + 9 & = & 9 \\
      3x + 9 - 9 & = & 9 - 9 \\
      3x & = & 0 \\
      3x \over 3 & = & 0 \over 3 \\
      x & = & 0 \\

    %h2 Solve for $x$ (again):
    :eqnarray
      3x + 10 & = & 7 \\
      3x + 10 - 10 & = & 7 - 10 \\
      3x & = & -3 \\
      3x \over 3 & = & -3 \over 3 \\
      x & = & -1 \\