We present a procedure for scaling the additive energy terms in the Gaussian- 2 (G2) theory by solving a linear system of equations Ax = b using matrix algebra. Our procedure reduces the average absolute deviation (AAD) from 1.20 kcal/mol of the original G2 theory to 0.94 kcal/mol with respect to the G2/91 test set of 125 energies of first-and second-row compounds. Published by Elsevier B.V.