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Dan Buch 2012-04-02 08:35:18 -04:00
parent 62e1490798
commit 67a2efde05
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math-replay/algebra/solving-for-a-variable.haml
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@ -147,3 +147,31 @@
m & = & n - 7p - 11 \over 8 \\ m & = & n - 7p - 11 \over 8 \\
\end{eqnarray} \end{eqnarray}
$$ $$
%h2 Solve for $x$ (again):
#solve-for-x2-01.solution
:escaped
$$
\begin{eqnarray}
7xy + 4xz + x + 1 & = & y + 6 \\
7xy + 4xz + x + 1 - 1 & = & y + 6 - 1 \\
7xy + 4xz + x & = & y + 5 \\
x \cdot (7y + 4z + 1) & = & y + 5 \\
x \cdot (7y + 4z + 1) \over 7y + 4z + 1 & = & y + 5 \over 7y + 4z + 1 \\
x & = & y + 5 \over 7y + 4z + 1 \\
\end{eqnarray}
$$
%h2 Solve for $v$:
#solve-for-v-01.solution
:escaped
$$
\begin{eqnarray}
3vw - 2vx + 10v + 1 & = & w + 4 \\
3vw - 2vx + 10v + 1 - 1 & = & w + 4 - 1 \\
3vw - 2vx + 10v & = & w + 3 \\
v \cdot (3w - 2x + 10) & = & w + 3 \\
v \cdot (3w - 2x + 10) \over 3w - 2x + 10 & = & w + 3 \over 3w - 2x + 10 \\
v & = & w + 3 \over 3w - 2x + 10 \\
\end{eqnarray}
$$