I have been trying to solve this matrix equation using the inverse method and I am stuck.

A manufacturer produces 1 Kg packages of mixed vegetables. They make an Italian style, a French style, and an Oriental style. Italian style combines 0.3kg of zucchini, 0.3kg of broccoli and 0.4kg of carrots. French style combines 0.6kg of broccoli and 0.4kg of carrots. Oriental style combines 0.2kg of zucchini, 0.5kg of broccoli and 0.3kg of carrots. The company has a stock of 16,200 kg of zucchini, 41400 kg of broccoli and 29,400 kg of carrots. How many packages of each style should it prepare with the existing supplies?