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Question from Nilesh, a student:

How to solve (x-y)^1/2 + 3(x-y) = 30 ; xy + 3(x-y) = 11 ? .

Hi Nilesh,

I can help get you started.

Focus on the first equation

\[(x-y)^{1/2} + 3(x-y) = 30\]

and let

\[z = (x-y)^{1/2}.\]

Once you have found $x$ and $y$ make sure you verify your answer.

Penny

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