Cesar invests $8200 in two different accounts. the first account paid 13 %, the second account paid 2 % in interest. at the end of the first year he had earned $461 in interest. how much was in each account?

a = amount invested at 13%

b = amount invested at 2%

we know the total amount invested is 8200, so if the first amount is say "a", the second amount must be the slack left from subtracting "a", namely b = 8200 - a.

we also know 13% of "a" plus 2% of "b" yielded an interest of $461 in a year.

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