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**Algebra**Level 2

\[\large{\begin{cases}{\log_{100}|x+y|=\frac{1}{2}} \\ { \log_{10}y - \log_{10}|x|=\log_{100}4}\end{cases}} \] The solution set of the equations above is?

\[\large{\begin{cases}{\log_{100}|x+y|=\frac{1}{2}} \\ { \log_{10}y - \log_{10}|x|=\log_{100}4}\end{cases}} \] The solution set of the equations above is?

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