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okay, for the first one:
I'll call the variables M1, M2, M3 = money market, blue-chip, high-tech in that order
you've been given 3 equations
50,000 = M1 + M2 + M3
4,000 = .05*M1 + .09*M2 + .16*M3
M1 = 3*M3 or 0 = M1 - 3*M3
From this we have Ax=y where y is the matrix (or vector):
|50,000|
| 4,000|
| 0 |
A is the matrix:
| 1 1 1 |
| .05 .09 .16 |
| 1 0 -3 |
x is the matrix (or vector)
|M1|
|M2|
|M3|
you should be able to solve from there.
for problem 2:
Your two equations are:
600 = 30*G1 + 30*G2 + 60*G3
.25*600 = .3*30*G1 + .2*30*G2 + .15*60*G3
(for the second equation, it was easier to think of it in total amount of nitrogen instead of percentages which is why I did it that way)
from there you again have Ax=y
y is:
|600|
|150|
A is:
|30 30 60|
|9 6 9 |
xis:
|G1|
|G2|
|G3|
if you need any help solving them, just make the augmented matrix |A:y| and reduce it. Hope this helps if it's not already too late
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Mechanical Engineers build weapons. Civil Engineers build targets.
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