Here's a complex problem involving quadratic equations:

Problem:

Solve the following system of equations:

1. $2x^2 - 3xy + y^2 = 1$
2. $x^2 + y^2 = 5$

Instructions:

• Use substitution or elimination to solve for $x$ and $y$.
• You may need to manipulate the equations and use quadratic formulas.

Let me know if you'd like hints or further clarification!