SOLUTION: These are solutions of three equations in three variables. i don't understand this at all. can someone please help?
Solve the system:
2x+y+4z=16
x+2y+2z=11
3x-3y-2z= -9
P
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-> SOLUTION: These are solutions of three equations in three variables. i don't understand this at all. can someone please help?
Solve the system:
2x+y+4z=16
x+2y+2z=11
3x-3y-2z= -9
P
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Question 795658: These are solutions of three equations in three variables. i don't understand this at all. can someone please help?
Solve the system:
2x+y+4z=16
x+2y+2z=11
3x-3y-2z= -9
PLEASE HELP AND SHOW WORK!!!! Found 2 solutions by Alan3354, josmiceli:Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! 2x+y+4z=16 Eqn 1
x+2y+2z=11 Eqn 2
3x-3y-2z= -9 Eqn 3
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Pick 1 one of the variables to eliminate.
I'll do z first
x+2y+2z=11 Eqn 2
3x-3y-2z= -9 Eqn 3
----------------------- Add
4x - y = 2 Eqn A
===================
2x+ y+4z = 16 Eqn 1
6x-6y-4z= -18 Eqn 3 times 2
-------------------------------- Add
8x - 5y =-2 Eqn B
4x - y = 2 Eqn A
----------------
Now it 2 equations in x & y
eliminate x or y in a similar manner
You can put this solution on YOUR website! You have 3 equations and 3 unknowns,
and this means that the system is solvable.
You can find out the numbers that
x,y, and z actually represent.
------------------------------
(1)
(2)
(3)
--------------------
Add (2) and (3)
--------------
Plug this value of into (1)
(1)
(1)
(1)
(1)
-------------------
There is a in equation (2), so I
can plug this into (2)
I also have that I can plug into (2)
-------------------
(2)
(2)
(2)
(2)
(2)
(2)
---------------
Now the other dominoes just fall
and
(1)
(1)
(1)
(1)
(1)
------------------
check answers:
(1)
(1)
(1)
(1)
(1)
--------------
You can check (2) and (3)
