Is there an easier way to solve this system of equations?

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$xy=26$

$\sqrt{x^2+y^2}=8$

Instead of solving for $x$ or $y$ in one of the equations and then plugging it in into the other, I want to find a faster, more efficient way to solve for $x$ and $y$.

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S.B.S

$x^2$+$y^2=64$

$(x+y)^2 - 2xy = 64$

or

$(x-y)^2 + 2xy = 64$

then after that you can do it..