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Question
Find the combined equation of the following pair of line:
x + 2y - 1 = 0 and x - 3y + 2 = 0
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Solution
The combined equation of the lines x + 2y - 1 = 0 and x - 3y + 2 = 0 is
(x + 2y - 1)(x - 3y + 2) = 0
∴ x2 - 3xy + 2x + 2xy - 6y2 + 4y - x + 3y - 2 = 0
∴ x2 - xy - 6y2 + x + 7y - 2 = 0
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