SOLUTION: How do I construct/make a system of three equations in three variables only given with the ordered triple (x, y, z)?

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Question 1050346: How do I construct/make a system of three equations in three variables only given with the ordered triple (x, y, z)?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Say you're given the triple (1,2,3).
So then,
3x=3%281%29=3
5y=5%282%29=10
2z=2%283%29=6
So then I can say,
3x%2B5y%2B2z=3%2B10%2B6
3x%2B5y%2B2z=19
So there's one equation.
Another would be x%2By%2Bz=6
Another would be x%2By-z=0
Just avoid making multiples of another equation.
Such as,
6x%2B10y%2B4z=38
.
.
.
So then those three equations have the solution (1,2,3).