i need some algorithm and all i can think of is manually try all possible multiplications and compare each to result.
problem:
-all numbers are decimal
-we have number Y and number X which are known
-we have number Z which is also known
-we have number Ym and Xm that we wanna find
relationship between them:
Y * Ym + X * Xm = Z
by multiplying two known by two different numbers and then adding these two results we need to get as close (or exact) to number Z
example:
1 * Ym + 3 * Xm = 14
1 * 2 = 2
3 * 4 = 12
2 + 12 = 14
Ym = 2 and Xm = 4
but these are small and integers
how can one determine Ym and Xm in most elegant or easy way?