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Question
Simplify the following:
[5 − 3x + 2y − (2x − y)] − (3x − 7y + 9)
Solution
\[ \left[ 5 - 3x + 2y - \left( 2x - y \right) \right] - \left( 3x - 7y + 9 \right)\]
\[ = \left[ 5 - 3x + 2y - 2x + y \right] - \left( 3x - 7y + 9 \right)\]
\[ = \left[ 5 - 5x + 3y \right] - \left( 3x - 7y + 9 \right)\]
\[ = 5 - 5x + 3y - 3x + 7y - 9\]
\[ = 5 - 9 - 5x - 3x + 3y + 7y\]
\[ = - 4 - 8x + 10y\]
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