SOLUTION: a person has $5,000 to invest, part at 5% and the rest at 10%. How much should be invested at each rate to yield $400 per year? Solve using the augmented matrix methods.

Question 934817: a person has $5,000 to invest, part at 5% and the rest at 10%. How much should be invested at each rate to yield $400 per year? Solve using the augmented matrix methods.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = amount invested at 5%
y = amount invested at 10%
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x + y = 5000
0.05x + 0.10y = 400
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put the system of linear equations into standard form
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x + y = 5000
0.05x + 0.10y = 400
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = amount invested at 5% = 2000
y = amount invested at 10% = 3000
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system matrix
1 1
0.05 0.1
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inverse of system matrix
2 -20
-1 20
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determinant of system matrix = 0.05
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