I dont understand what was made between step (1) and step (2). How did they managed to get to (2)? I tried solving both equations in order of x1 and then solve the equality to find x2 in order of p but i dont get the same thing.
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1It is just a matter of carefully grinding through the equation. You can make some observations to simplify matters like $x_1 = 2 x_2$ is immediate from the equations. – copper.hat Jun 16 '23 at 21:46