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  1. Given:
    x+7y=8 ...(1)
    x=4-7y ...(2)
    Rearrange (2) to give
    x+7y=8 ...(1a)
    x+7y=4 ...(2a)
    Since the left-hand sides are identical, but the right-hand sides are different, we conclude that the system of equation is inconsistent and hence has no solution.

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