exam Maths Puzzle Numerical Ability

Doris has $20,000 to invest. Her financial planner recommends that she diversify into
three investments: Treasury bills that yield 5% simple interest, Treasury bonds that yield
7

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numerator 4
denominator -2+sqrt7
solve the homogeneous system: {2x+y+z=0
4x-5y+z=0
3x-2y+z=0