Find the combined equation of the following pairs of lines:
2x + y = 0 and 3x – y = 0
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The combined equation of the lines 2x + y = 0 and 3x – y = 0 is
(2x + y)( 3x – y) = 0
∴ 6x2 – 2xy + 3xy – y2 = 0
∴ 6x2 – xy – y2 = 0.