SOLUTION: X+2y-3z=11 3x+2y+z=1 2x+y-5z=11.

Question 1185777: X+2y-3z=11 3x+2y+z=1 2x+y-5z=11.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Do you have a question?
You should say "Solve for x, y & z."
------

 x + 2y - 3z = 11   
3x + 2y +  z = 1 
2x +  y - 5z = 11
-------
 x + 2y - 3z = 11   1st eqn
3x + 2y +  z = 1    2nd eqn
----------------------------------- Subtract
-2x - 4z = 10  --- no y term
=====================
3x + 2y +  z = 1 
4x + 2y - 10z = 22   3rd eqn times 2
----------------------------------------------- Subtract
-x + 9z = -21
Multiply by 2
-2x + 18z = -42
-2x - 4z = 10  --- no y term
-------------------------------------------- Subtract
22z = -52
z = -26/11
=====================
-x + 9z = -21
-x - 234/11 = -21 = -231/11
-x = 3/11
x = -3/11
=====================
 x + 2y - 3z = 11
-3/11 + 2y + 78/11 = 11 = 121/11
2y = 46/11
y = 23/11

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