diff --git a/math-replay/algebra/solving-for-a-variable.haml b/math-replay/algebra/solving-for-a-variable.haml index 7a12659..cffbb30 100644 --- a/math-replay/algebra/solving-for-a-variable.haml +++ b/math-replay/algebra/solving-for-a-variable.haml @@ -147,3 +147,31 @@ m & = & n - 7p - 11 \over 8 \\ \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} + $$