Question 935661: Hello,
Please help me write a system of 3 linear equations in 3 variables given the solution set (3,2,-5). I've tried so many times but I just can't get it right. Thank you in advance.
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! Please help me write a system of 3 linear equations in 3 variables given the solution set (3,2,-5).
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x = 3
y = 2
z = -5
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x + y + z = 0
x + y + 2z = -5
x +2y + z = 2
Answer by MathLover1(20849)  (Show Source):
You can put this solution on YOUR website!
given:
( , , )=>  ,  , and 
 ...we can set  ,  , and  , then plug in , , and , we will have
so, first equation is:
 .......1
now set  ,  , and  , then plug in , , and , we will have
second equation is:
 .........2
now set ,  , and  , then plug in , , and , we will have
third equation is:
 ........3
so, your system is:
.......1
.........2
........3
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