Are there any libraries that are well-known formulas and values of the experiment, determine its coefficients?

Example:

-2.84 = k3*82.19 + k4*15.42 + k9*0.73

0.08 = -k1*15.12 + k2*11.08 + k6*7.43 — k9*...

1.58...

0.001...

Need to find all k in it.

UPD:

Some equations for 3 unknown for 4 k — only or pick up, or I don't know what...