Solve the equations \( \log _{100}|x+y|=1 / 2, \log _{10} y-\log _{...

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Solve the equations \( \log _{100}|x+y|=1 / 2, \log _{10} y-\log _{10}|x|=\log _{100} 4 \) for \( x \) and \( y \).
\( \mathrm{P} \)
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