Solve each of the following problems by setting up and solving a system of three linear equations in three variables. Part of $3000 is invested at 4%, another part at 5%, and the remainder at 6%. The total yearly income from the three investments is $160. The sum of the amounts invested at 4% and 5% equals the amount invested at 6%. Determine how much is invested at each rate.

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A: Given the equations : 4x -9y = -8  3x -5y =1

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A: A detailed solution is given below.

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A: Sol:-- -4w+16y-24z=-8-9w+x+42y-61z=-228w+4x-15y+41z=78w-2x-35y+42z=15Arrange equation variables for…

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