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Find all pairs $(x,y)$ of real numbers such that $x + y = 10$ and $x^2 + y^2 = 56$.
 Aug 3, 2020
 #1
avatar+1084 
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Using the first equation, we see that x=10-y. 

 

Plug that in for x in the second equation, and solve!

 

:)

 

More on system of equations: https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:systems-of-equations

 Aug 3, 2020

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