exam Maths Puzzle Numerical Ability

what is the answer to this problem using the cramer's rule?

x + 2y - z = -4
2x - 3y + 5z = 27
5x - y + 4z = 27

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Janet invested $29,000, part at 12% and part at 14%. If the total interest at the end of the year is $3,800, how much did she invest at 12%?

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