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

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) (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.

RELATED QUESTIONS
I am having trouble solving this proof: 1. DvM 2. M-->R 3. Sv(Q&X) 4. R-->~S 5. ~D (answered by AnlytcPhil)

hsving trouble understanding N-th root. Can you explain what it is, and how to solve... (answered by stanbon)

Tutor Please Help...This question is from a textbook and I keep getting different... (answered by Earlsdon,rapaljer)

Help! I am stumped. I'm trying to solve this quadratic equation, and I'm not sure if the... (answered by checkley75)

Find the x- and y-intercepts of the graph of the equation.3x - 12y = -10 I' m in 8th... (answered by checkley77,jim_thompson5910)

Okay I am so not getting this!!! I need help with solving by the susstitution method... (answered by rfer)

Please help me with this question! Thanks! Express this fraction with a rational... (answered by josgarithmetic)

I am having so much trouble with this problem, and I need help. I have tried and... (answered by checkley71,stanbon)
Having trouble with a logarithm! I am okay with logarithms, but this one throws in a... (answered by jsmallt9)