SOLUTION: 2x-3y+z=2 x+3y+2z=2 3x-y-3z=3

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Question 887410: 2x-3y+z=2
x+3y+2z=2
3x-y-3z=3
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
2x-3y+z=2 Eqn 1
x+3y+2z=2 Eqn 2
3x-y-3z=3 Eqn 3
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2x-3y+z=2 Eqn 1
x+3y+2z=2 Eqn 2
----------------------- Add
3x + 3z = 4 Eqn A
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x+3y+2z=2 Eqn 2
9x-3y-9z=9 Eqn 3 times 3
----------------------------- Add
10x - 7z = 11 Eqn B
30x - 21z = 33 Eqn B times 3
21x + 21z = 28 Eqn A times 7
--------------------------------- Add
51x = 61
x = 61/51
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Sub for x in Eqn A or B to find z
Sub for x and z in any eqn to find y