If there is a real solution then . Try playing around with that inequality, as well as the other five or so you will obtain. Maybe you'll get something nice out of it...
Clearly, works. But is it the only solution?
Well, you sure seem to know what you're doing.
So if you can't solve this thing....
I gather it is quite possible that there is a "short cut" staring us in the face!
With the unwieldy equations that result in trying to solve the normal way,
it seems that there MUST be a way to greatly simplify the process, else
what teacher in his right mind would lay such a cruelty on a student?!
If there is a real solution then . Try playing around with that inequality, as well as the other five or so you will obtain. Maybe you'll get something nice out of it...
Clearly, works. But is it the only solution?
3 eqs 4 variables means you have infinite solutions for 3 variable while changing the 4th variable...therefore, all you get is 3 equations in terms of the 4th variable...with infinite values for 3 variables. However, this specific system has the solution I mentioned before.