## 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=5end{array}]