[tex] \frac{1}{x} + \frac{1}{x} = 2 \\ \frac{2}{x} = 2 \\ 2x = 2 \\ x = 1 \\ \\ \frac{2}{x} - \frac{1}{z} = - 3 \\ \frac{2}{1} - \frac{1}{z} = - 3 \\ - 3z = 2z - 1 \\ - 3z - 2z = - 1 \\ - 5z = - 1 \\ z = \frac{1}{5} \\ \\ \frac{1}{y} - \frac{1}{z} = 2 \\ \frac{1}{y} - \frac{1}{ \frac{1}{5} } = 2 \\ \frac{1}{y} - \frac{5}{1} = 2 \\ \frac{1 - 5y}{y} = \frac{2}{1} \\ 2y = 1 - 5y \\ 2y + 5y = 1 \\ 7y = 1 \\ y = \frac{1}{7} \\ \\ HP = (1, \frac{1}{7} , \frac{1}{5} )[/tex]
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[tex] \frac{1}{x} + \frac{1}{x} = 2 \\ \frac{2}{x} = 2 \\ 2x = 2 \\ x = 1 \\ \\ \frac{2}{x} - \frac{1}{z} = - 3 \\ \frac{2}{1} - \frac{1}{z} = - 3 \\ - 3z = 2z - 1 \\ - 3z - 2z = - 1 \\ - 5z = - 1 \\ z = \frac{1}{5} \\ \\ \frac{1}{y} - \frac{1}{z} = 2 \\ \frac{1}{y} - \frac{1}{ \frac{1}{5} } = 2 \\ \frac{1}{y} - \frac{5}{1} = 2 \\ \frac{1 - 5y}{y} = \frac{2}{1} \\ 2y = 1 - 5y \\ 2y + 5y = 1 \\ 7y = 1 \\ y = \frac{1}{7} \\ \\ HP = (1, \frac{1}{7} , \frac{1}{5} )[/tex]
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