# How do you solve simultaneous equations?

Algebra Level 3

$\large{\begin{cases} \sqrt x \left(1 - \dfrac{12}{3x+y} \right) = 2 \\ \sqrt y \left(1 + \dfrac{12}{3x+y} \right) = 6 \end{cases}}$

$$x$$ and $$y$$ are real numbers satisfying the system of equations above.

If $$x = a + b \sqrt3$$ and $$y = c + d\sqrt3$$, where $$a,b,c$$ and $$d$$ are integers, submit your answer as $$a+b+c+d$$.

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