Solving Investment problem with System of Equations

crypters

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Apr 21, 2013
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Linda invests $25,000 for one year. Part is invest at 5%, another part at 6%, and the rest at 8%. THe total income from all 3 investments is $1600. THe income from the 5% and 6% investments is the same as the income from the 8% investment. Find the amount invested at each rate.


I know that the system of equations will look like this :

x + y + z = 1600

.05x + .06y + .08z = 25000

x + y = z


but I'm not to sure how to go about tackling this problem .
 
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