Problem

In under component wise addition, let H = {(x, 3x) | x ∈ R}. (Note that H is the subgrou...

In under component wise addition, let H = {(x, 3x) | x R}. (Note that H is the subgroup of all points on the line y = 3x.) Show that (2, 5) + H is a straight line passing through the point (2, 5) and parallel to the line y = 3x.

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