Sure! Here is a system of equations that includes one linear equation and one quadratic equation:
-
Linear equation: \[ 2x + 3y = 12 \]
-
Quadratic equation: \[ y = x^2 - 4x + 3 \]
In this system, the first equation represents a straight line, while the second represents a parabola. You can solve this system to find the points of intersection.