The Labyrinth of Linear Equations

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In a world where paths are determined by equations, you find yourself at the entrance of a labyrinth. The labyrinth is designed as a giant coordinate plane, with the entrance at the origin (0,0). To navigate through, you must follow a path defined by a series of linear equations, each leading to the next until you find the exit. The path is as follows:

Start at the origin.

Follow the line defined by the equation y=2x+3 until you intersect with the line defined by x=3.

At the intersection, turn and follow the line defined by x=3 upwards until you intersect with the line defined by x+6.

Once you reach this second intersection, follow the line x+6 to find the exit.

Your task is to calculate the coordinates of the exit of the labyrinth.

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