I'll set up for you . . .
Using Gaussian elimination, solve the following problem.
A small corporation borrowed $500,000 to expand its product line.
Some of the money was borrowed at 9%, some at 10%, and some at 12%.
How much was borrowed at each rate if the annual interest was $52,000
and the amount borrowed at 10% was 2.5 times the amount borrowed at 9%?
The total borrowed is $500,000: . .(a)
The interest on dollars at 9% is: dollars.
The interest on dollars at 10% is: dollars.
The interest on dollars at 12% is: dollars.
. . The total interest was $52,000: .
Multiply by 100: . .(b)
The amount borrowed at 10% was 2.5 times the amount borrowed at 9%:
Multiply by 2: . .(c)
And we have the sytem: .
Now solve it . . .