SOLUTION: can you please help me solve this system of linear equations that has four variables by showing me the steps on how to do it. w+x-y+z=0 w-2x-2y-z=-5 w-3x-y+z=4 2w-x-y+3z=7

Question 767157: can you please help me solve this system of linear equations that has four variables by showing me the steps on how to do it.

w+x-y+z=0
w-2x-2y-z=-5
w-3x-y+z=4
2w-x-y+3z=7
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
can you please help me solve this system of linear equations that has four variables by showing me the steps on how to do it.

w+x-y+z=0
w-2x-2y-z=-5
w-3x-y+z=4
2w-x-y+3z=7
----------------
Add eqns 1 & 2
Add eqns 2 & 3
Multiply eqn 2 by 3, then add to eqn 4.
---
The z's are gone, you have 3 eqns in w, x & y.
Use the same procedure to eliminate a 2nd variable.
Then you'll have 2 eqns in 2 variables.
etc.

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