SOLUTION: 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 ad

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).
---
x = 3
y = 2
z = -5
---
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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