SOLUTION: The sum of three numbers is 3. The sum of twice the first number, 3times the second number, and 4times the third number is 7. The difference between 5 times the first number and th

Question 858157: The sum of three numbers is 3. The sum of twice the first number, 3times the second number, and 4times the third number is 7. The difference between 5 times the first number and the second number is 16. Find the three numbers.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The sum of three numbers is 3. The sum of twice the first number, 3times the second number, and 4times the third number is 7. The difference between 5 times the first number and the second number is 16. Find the three numbers.
***
let x=1st number
let y=2d number
let z=3rd number
..
x+y+z=3
2x+3y+4z=7
5x-y=16
..
4x+4y+4z=12
2x+3y+4z=7
subtract
2x+y=5
5x-y=16
add
7x=21
x=3
y=5-2x=-1
z=3-x-y=1
...
check:
x+y+z=3-1+1=3
2x+3y+4z=6-3+4=7
5x-y=15-(-1)=16
..
1st number=3
2nd number=-1
3rd number=1

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