Sue's student loans totaled $31,000. One of her loans was at 2.8% simple interest and the other at 4.5%. After one year, Sue owed $1024.40 in interest. What was the amount of each loan?

4 answers

x = loan at 2.8%, y = loan at 4.5%
0.028x + 0.045y = 1024.40
x + y = 31000

solve these two equations together for your answer

post back if you need help
I'm not getting the result I was looking for, How do you deturmine what the amount of each interest?
Take x+y=31000 and solve for one of the variables.

Next, plug that solution into the second equation using the substitution method.

You now have a complete solution to one of the variables. Plug that answer into the original equation (x+y=31000) and you will find the solution of the second variable.

Once you have both of the solutions plug them into their separate terms. For example, if x=3 plug in that number to 0.028x

That will give you the separate value of each interest amount. Hope this helped.
Opps.. when i said Original equation, I meant 0.028x + 0.045y = 1024.40