SOLUTION: Mr. Simon invests a total of $7003 in two savings accounts. One account yields 7.5% simple interest and the other 8.5% simple interest. He would like to find the amount placed in

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Mr. Simon invests a total of $7003 in two savings accounts. One account yields 7.5% simple interest and the other 8.5% simple interest. He would like to find the amount placed in      Log On


   



Question 42159: Mr. Simon invests a total of $7003 in two savings accounts. One account yields 7.5% simple interest and the other 8.5% simple interest. He would like to find the amount placed in each account if a total of $582.33 in interest is received after one year. Write a system of linear equations to express this problem.Please explain thanks.
I really need help with word problems.
thanks

Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
An x amount of money will be invested in 7.5% and the rest, 7003+-+x will be invested is 8.5% ....
y+=+%28x%29%280.075%29+%2B+%287003+-+x%29%280.085%29 where y equals total amount of interest and Interest=Principle*Rate*Time
582.33+=+%28x%29%280.075%29+%2B+%287003+-+x%29%280.085%29
582.33+=+0.075x+%2B+595.255+%2B+0.085x
-12.925+=+0.16x
-80.78125+=+x
You can not place a negative amount of cash in an account, so there is no way.
The linear Equations:
y+=+0.16x+%2B+595.255
and
y+=+582.33
+graph%28+1000%2C+1200%2C+-100%2C+20%2C+-10%2C+600%2C+0.16x+%2B+595.255%2C+582.33%29+