SOLUTION: I'm so close to solving this question but any input would be so greatly appreciated! I'm having trouble coming up with the right 3 equations for this problem: "The sum of three

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: I'm so close to solving this question but any input would be so greatly appreciated! I'm having trouble coming up with the right 3 equations for this problem: "The sum of three       Log On


   



Question 1032022: I'm so close to solving this question but any input would be so greatly appreciated! I'm having trouble coming up with the right 3 equations for this problem:
"The sum of three numbers is 14. The first number minus three times the third number is the second number. The second number is six more than the first number. Find the three numbers."
Thank you for any input.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x+y+z=14
x-3z=y
y=x+6
x-3z=x+6
-3z=6
z=-2
x+y=16, going back to the first equation.
y=x+6
so x+x+6=16
2x=10
x=5
y=11
The numbers are 5, 11, -2
They add to 14
The first number minus 3 (-2)= 11
The second number is 6 more than the first.