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How did he found x = 1, y = 0, z = 0 and x = 1, y = 1, z = 2?
Parametric Representation of a Solution Set
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How did he found x = 1, y = 0, z = 0 and x = 1, y = 1, z = 2?
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he says that there is a solution for any ##y## and ##z## so he just chose a couple of simple examples. For example ##y=0, \ z=0##.