ah ha, you did not say you know linear algebra before. In the earlier problem the determinant of your coefficient matrix was zero, no solutions.
a + u = 120,000
a - 3 u = 0
| 1 +1 | 120,000
| 1 -3 | 0
det coef matrix = -3 - 1 = -4
put right column in for a column to solve for a
| 120,000 +1 |
| 0000000 -3 | all divided by -4
-360,000/-4 = 90,000 for Triple A
then of course Unity gets 30,000
lo and behold, they add up to 120,000
Use matrix methods to solve the problem.
120,000 gallons of fuel are to be divided between two airlines. Triple A Airways requires three times as much as Unity Air. How much fuel should be allocated to Triple A?
______ gal
2 answers
thank you
2 answers