# Solving Simultaneous Equations with Surd

## 2015 Oct Nov Paper 23 Q4

Solve the following simultaneous equations, giving your answers for both $$x$$ and $$y$$ in the form $$a+b \sqrt{3}$$, where $$a$$ and $$b$$ are integers.
$\begin{array}{r} 2 x+y=9 \\ \sqrt{3} x+2 y=5 \end{array}$

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