SOLUTION: The sum of three numbers is 180. The third is four times the first and the second is 36 less than the third. Let x, y, z be the first, second, and third number respectfully. Set u
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-> SOLUTION: The sum of three numbers is 180. The third is four times the first and the second is 36 less than the third. Let x, y, z be the first, second, and third number respectfully. Set u
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Question 1048533: The sum of three numbers is 180. The third is four times the first and the second is 36 less than the third. Let x, y, z be the first, second, and third number respectfully. Set up the system of linear equations to find the numbers. Answer by MathLover1(20850) (Show Source):
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given:
........eq.1
The third is four times the first:........eq.2
the second is less than the third:........eq.3
........eq.1......substitute and from eq.2 and eq.3
.....substitute from eq.2
....solve for
now, go to eq.2
........eq.2...substitute and solve for
and, go to
........eq.3.....substitute and solve for