Solve the following equation for \((x,y)\):  \(\displaystyle \log _{100}| x+y|=\frac{1}{2},\log...

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Solve the following equation for \((x,y)\):  \(\displaystyle \log _{100}| x+y|=\frac{1}{2},\log _{10}y-\log _{10}|x|=\log _{100}4\)
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