At the beginning of last year, you purchased Delta Derivatives and Zeta Functions. The Delta Derivatives shares cost you $$12$ per share and paid $6\%$ in dividends for the year, while Zeta Functions shares cost you $$4$ per share and paid $5\%$ in dividends for the year. If you invested a total of $$7,400$ and earned $$430$ in dividends at the end of the year, how many shares of each company did you purchase?