In under component wise addition, let H = {(x, 3x)
Chapter 8, Problem 48SE(choose chapter or problem)
In \(\mathbf R \oplus \mathbf R\) under componentwise addition, let \(H = \{(x, 3x) | x \in \mathbf R\}\). (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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