SOLUTION: the sum of three numbers is 10. The sum of twice the first​ number, 5 times the second​ number, and 6 times the third number is 47. The difference between 7 times the
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Question 1088912: the sum of three numbers is 10. The sum of twice the first number, 5 times the second number, and 6 times the third number is 47. The difference between 7 times the first number and the second number is 20. Find the three numbers.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
1.
2.
3.
From eq. 3,
Substitute into eq. 1 and eq. 2,
4.
.
.
5.
Multiply eq. 4 by 6 and subtract from eq. 5,
Solve for , then work backwards to solve for and .
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