1. The problem statement, all variables and given/known data I have a problem with lines in analytic geometry, and I solved it in a certain way (parallel lines interceptions) which gives the correct result, and I'm happy with that. There was another method I thought I could use to solve it though, which went through the formulas of distance between two points. Now, I set up the equations, and I get a system with two variables (x and y) and two equations. I tried verifying the equations by replacing the variables with the results I already know, and the equations seem to be correct. The problem is, I don't know how to actually solve the system because of a square root on the way. So here is the system I get: 1. (x+3)2 + (3-y)2 = 25 2. (1-x)2 + y2 = 20 The results should be x = -3; y = -2 3. The attempt at a solution I tried getting y2 from the second equation, but I also need y (as in y1) if I want to replace it in the first equation, due to that -6y. So the first equation becomes: x+9+6x+9-25+20-1-x2+2x -6*√(19+2x-x2) I also tried subtracting the second equation from the first equation, expecting not to work, and indeed this is as far as I can get: 8x -6y + 12 = 0 So, how I am supposed to solve this system?