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is the pair of lines parallel x+2y=7 and 2x+4y=3

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  1. x+2y=7 ....(1)
    2x+4y=3 ....(2)
    Divide (2) by 2 to get
    x+2y=1.5 ...(2a)
    Since the coefficients of (2a) and (1) are identical, but the right hand side is not, we conclude that the two equations represent two lines that are parallel and distinct.

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