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hey this is presh to Walker solve the following system of equations x squared minus y z is equal to two y squared minus x z is equal to 3 and Z squared minus X Y is equal to five I think Sean and Nick from New Zealand for the suggestion pause the video if youd like to give this problem a try and when youre ready keep watching to learn how to solve this problem [Music] now before I get to the solution I want to give a little bit of behind the scenes of the process that went into making this video it all started in April of 2021 when Sean suggested a problem I made notes of it and I tried to think of how to work it out but I couldnt come up with a good explanation then in November of 2021 Nick sent me the same problem which brought it back to my attention so I had initially found a solution on Topper but it didnt actually make any sense to me once I got to this step of cross multiplication I was just lost I did some more research and saw something on math stack exchange but again I w