book Maths Puzzle Numerical Ability

36x^2 + 16y^2=576

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Patricia has at most $16000 to invest in securities in the form of corporate stocks. She has narrowed her choices to two groups of stocks: growth stocks that she assumes will yiel 13.7B-6.5=2.36B+8.3 Solve equation with the variable. I do not understand how to work this problem.