3.8: Linear simultaneous equations with surds

0606/23/O/N/21 — Question 2 · 5 marks

Solve the following simultaneous equations. Give your answers in the form a+b3a + b\sqrt{3}, where aa and bb are rational.
x+y=3x + y = 32x3y=52x - \sqrt{3}\,y = 5
[5]