Algebra

Last year, Deon had $10,000 to invest. He invested some of it in an account that paid 6%simple interest per year, and he invested the rest in an account that paid 9% simple interest per year. After one year, he received a total of $810 in interest. How much did he invest in each account?

I keep getting really big numbers (47000) for the first account which i know is not correct. Please help

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  1. .06 x + .09 (10,000 - x ) = 810

    -.03 x + 900 = 810

    .03 x = 90

    x = 90/.03 = 3,000
    10,000 - x = 7,000

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