Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM.A $124,000 trust is to be invested in bonds paying 9%, CDs paying 8%, and mortgages paying 10%. The sum of the amount invested in bonds and the amount invested in CDs must equal the mortgage investment. To earn an $11,400 annual income from the investments, how much should the bank invest in each?Let x represent the amount invested in bonds, y the amount invested in CDs, and z the amount invested in mortgages.
A. x + y - z = 0
x + y + z = 124,000
0.09x + 0.08y + 0.1z = 11,400
B. x + y + z = 0
x + y - 9z = 124,000
0.1x + 0.08y - 0.09z = 11,400
C. x + y - z = 11,400
x - y + 9z = 22
8x + y + z = 124,000
D. x + y - z = 0
x + y + z = 124,000
9x + 8y + z = 11,400
Answer: A
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