SOLUTION: x+2y+3z=1,3x-y+z=1,4x+2y+z=3

Question 983847: x+2y+3z=1,3x-y+z=1,4x+2y+z=3
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
..........eq.1
..........eq.2
..........eq.3
--------------------------------------
start with
..........eq.1.....both sides multiply by
..........eq.2
-------------------------------

..........eq.1
..........eq.2
---------------------------------subtract eq.2 from eq.1

.......solve for

..........eq.1...both sides multiply by
..........eq.3
-------------------------------------
..........eq.1
..........eq.3
-------------------------------------subtract eq.3 from eq.1

......solve for

.......eq.2a
since eq.1a and eq.2a have same left sides, then right sides are equal too
...........solve for

go to .......eq.2a, substitute for and find

go to ..........eq.1 substitute for , for and find
..........eq.1

so, your solutions are:

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