Question 354768
To buy both a new car and a new house, Tina sought two loans totalling $78,825. The simple interest rate on the first loan was 0.2%, while the simple interest rate on the second loan was 5.0%. At the end of the first year, Tina paid a combined interest payment of $2817.23. What were the amounts of the two loans? 
So far I have this but don't know where to go from there:
x + y = 78,825
0.02x + 0.05y = 2817.23
----
Multiply thru the 1st equation by 2.
Multiply thru the 2nd equation by 100.
---------------
2x + 2y = 2*78,825
2x + 5y = 281723
---------------------------
Subtract the top equation from the bottom and solve for "y":
3y = 124073
y = $41357.67
----
x = 78825-41357.67
x = $37467.33
===================
Cheers,
Stan H.