Finding the Distance for Alex

Consider a scenario where two friends, Alex and Jamie, are planning a road trip. They want to determine how far each will travel.

Let $$x$$ represent the distance (in miles) Alex will drive, and let $$y$$ represent the distance (in miles) Jamie will drive.

They have established the following equations based on their travel plans:

Equation 1: $$x + y = 300$$

Equation 2: $$3x - 2y = 100$$

What is the value of $$x$$?