Show that the m equations: nj = 1 aijXj = bi, i = 1,2, ... , m

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Show that the m equations:
∑nj = 1 aijXj = bi, i = 1,2, ... , m
are equivalent to the following m + 1 inequalities:
∑nj = 1 aijXj = bi, i = 1,2, ... , m
∑nj = 1 (∑mj = 1 aij) x1 ≥ ∑mj = 1 bi
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