I'm struggling a bit with the following problem:
$3 + 14x = 1 + 25y = 9 + 288z$
I have a series of these equations which I need to solve, with different first terms in each case and one of these first terms changes for each equation: e.g. the second such equation is:
$3 + 14x = 1 + 25y = 47 + 288z$
Obviously, I'd prefer not to brute force this problem, or I wouldn't be posting here. But I just thought there might be an analytical solution, because as I progress further with this, the $x$, $y$ and $z$ coefficients will get larger. Also, if you could advise as to a general solution for any number of terms, I'd welcome it.
Thanks for your help!!!