Question 1196544
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Let x represents the amount invested at 5% annual interest, 
and let y be the amount invested at 10% annual interest.


The system of equations is

        x +     y = 150000   dollars     (1)

    0.05x + 0.10y =  12000   dollars     (2)


Equation (1) says that the total invested amount of the two accounts is $150,000.


Equation (2) says that the total annual interest of the two accounts is $12,000.
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The setup is complete; the question is answered and the problem is solved.