an investment of $6600.00 is divided between two simple interest accounts. On one account the annual simple interest rate is 9% and on the second account the annual simple interest is 5.5% How much should be invested in each account so that the total interest from the two accounts is $468? (x at 9% and y at 5.5%)

1 answer

first equation:
x+y = 6600 or y = 6600-x

.09x + .055y = 468
how about multiplying each term by 200
18x + 11y = 93600

use substitution:
18x + 11(6600-x) = 93600

carry on ....